Verify the identity. To verify the​ identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file

[tex]\to \frac{\tan x}{\sec x} \\\\\therefore \ \ \ \tan x= \frac{ \sin x}{ \cos x} \ \ \ \ and \ \ \ \ sec x = \frac{1 }{ \cos x}\\\\\to \frac{\frac{ \sin x}{ \cos x}}{ \frac{1 }{ \cos x}} \\\\\to \frac{ \sin x}{ \cos x} \times \frac{ \cos x}{1 }\\\\\to \sin x[/tex]

The numerator transformation value is = [tex]\sin x[/tex]

The denominator transformation value is= 1

Verify The Identity. To Verify The Identity, Start With The More Complicated Side And Transform It To
Answer 2

After transformation, we get  [tex]\frac{tan(x)}{sec(x)}=sin(x)[/tex]

Trigonometric identity:

We have to verify the identity  [tex]\frac{tan(x)}{sec(x)}[/tex]

As we know that,

    [tex]tan(x)=\frac{sin(x)}{cos(x)}\\\\sec(x)=\frac{1}{cos(x)}[/tex]

So that,

    [tex]\frac{tan(x)}{sec(x)}=\frac{sin(x)}{cos(x)} *cos(x)\\\\\frac{tan(x)}{sec(x)}=\frac{sin(x)}{1}[/tex]

The numerator transform expression is [tex]sin(x)[/tex].

The denominator transform expression is 1.

Learn more about the trigonometric identity here:

https://brainly.com/question/7331447

Complete question: trigonometric expression is  [tex]\frac{tan(x)}{sec(x)}[/tex]


Related Questions

explain how to find the least common multiple of two numbers.

Answers

Answer:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Step-by-step explanation:

Answer:

First convert numbers into prime numbers. find which number(s) is/are repeating. Multiply all numbers execpt for the number that repeat. Multiply those once.

Step-by-step explanation:

12 = 3*2*2

14 = 2*7

One 2 repeats

3*2*2*7 = 21*4 = 84

Lcm(12, 14) = 84

The two points are reflections of each other across the x- or y-axis. Select the axis of reflection. (-6,7) and (6,7) The axis of reflection is (x) OR (y)

Answers

Answer: The axis of reflection is x

Step-by-step explanation:

Write the equation in slope intercept form for the line that passes through the points (-3,-10) and (5,14). Show
your work.

Answers

Answer:

67+67+98=833 SO MULTIPLY

Step-by-step explanation:

The equation of the line that passes through the points (-3,-10) and (5,14) will be y = 3x - 1.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The two points are given below.

(-3,-10) and (5,14)

The equation of the line that passes through the points (-3,-10) and (5,14) will be given as,

y + 10 = [(14 + 10) / (5 + 3)](x + 3)

y + 10 = 3(x + 3)

y = 3x + 9 - 10

y = 3x - 1

The equation of the line that passes through the points (-3,-10) and (5,14) will be y = 3x - 1.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ2

| -n - 29 | = 2
help ASAP

Answers

Answer:

n = -31, -27

Step-by-step explanation:

please help me!!!!please

Answers

i believe the answer is 7.

Help plz due is FIVE MINUTES!!!!
The graph of g is the graph of f translated horizontally 3 units to the left . If f(x) = 2x + 1, what is an equation for the function g?​

Answers

Answer:

g(x) = 2x + 7

Step-by-step explanation:

Horizontal shift 3 units left is achieved as:

g(x) = f(x + 3) g(x) = 2(x+3) + 1 g(x) = 2x + 6 + 1g(x) = 2x + 7

The area of a rectangular deck is 680ft. The deck’s width is 17ft. What is the perimeter?

Answers

Answer:

1394

Step-by-step explanation:

[tex]680 + 17 + 680 + 17 = 1394[/tex]

The Idol's Eye diamond weighs 79.2 carats. The Blue Hope diamond weighs 33.68 carats less than the Idol's Eye. What is the weight of the Blue Hope diamond? A. -146.56 B. -45.52 C. 45.52 D. 140.20

Answers

Answer:

C. 45.52

Step-by-step explanation:

Idol's Eye diamond = 79.2 carats.

The Blue Hope diamond weighs 33.68 carats less than the Idol's Eye.

Let the idols eye diamond= x

Blue hope diamond = y

Blue hope diamond, y = x - 33.68 carats

= 79.2 carats - 33.68 carats

= 45.52 carats

The correct answer is C. 45.52

Answer:

I hope this helps

Step-by-step explanation:

What is n/0.25=32
how do you solve it?

Answers

n=8. what you do is multiply each side by 0.25 to get ride of that fraction. thus leaving n alone and 32 multiplied by 0.25 is 8.
n= 8

Step by step explanation

Convert the decimal number in to a fraction
0.25 -> 1/4

Simply

n/ 1/4=32

4n=32

Divide both sides by 4

n=8

angle a and angle b are complementary angles. if m angle a =5x-2 and m angle b = 3x +4 what is the value of x​

Answers

Since they’re complementary angles their total will be 90 degree so :
5x-2 + 3x+4 = 90
We add the like terms (valuables with valuables)
8x + 2 = 90
Move the 2 to the right side and change its sign
8x= 90-2
8x= 88
By dividing both sides by 8
X = 11

This is what I think so make sure it’s right and I hope this was helpful !


WILL GIVE BRAINLIEST
Phyllis is going ice skating.
• The cost to rent figure skates for x hours is given by the function
f(x) = 1.50x + 2.00.
• The cost to rent hockey skates for x hours is given by the function
h(x) = 2.00x + 1.50.
If philly rents skates for 3 hours, how much cheaper would figure skaters than hocket skates

Answers

Answer:

Step-by-step explanation:

Figure Skates:                      

f(x)=1.50(3) + 2.00

f(x)=4.5 + 2.00

f(x)= 6.5

Hockey Skates:

f(x)=2.00(3) + 1.50

f(x)=6.00 + 1.50

f(x)= 7.50

Figure skates are $1 cheaper than hockey skates.

Aiguo places 6 circular biscuits, each with the same diameter, on a baking sheet as shown below. What is the approximate area of the baking sheet left uncovered? Please hurry!

Answers

Answer:

46cm²

Step-by-step explanation:

Find the diagram attached.

The area of the baking sheet left uncovered = Area of rectangle - Area of the 6 circular biscuits

Area of the rectangle = Length * Width

Given

Length = 12cm

Width = 18cm

Area of the rectangle = 12*18

Area of the rectangle = 216cm²

The diameter of one of the circle = Length/3

The diameter of one of the circle = 18/3 = 6cm

Area of a circle = πd²/4

Area of a circle = π(6)²/4

Area of a circle = 36π/4

Area of a circle = 9π cm ²

Area of the six circular biscuit = 6(9π) = 54πcm²

Area of the six circular biscuit = 54(3.14) = 169.56cm²

Area of the baking sheet left uncovered = 216 - 169.56

Area of the baking sheet left uncovered = 46.44cm²

Area of the baking sheet left uncovered is approximately 46cm²

369 divided by 82
USE NO CALCULATOR

Answers

Answer:

Step-by-step explanation:

The answer is 4.5 :)

what is a feature of the crossroad region​

Answers

Answer:

There were small rural towns and farms everywhere.

Step-by-step explanation:

You asked, I answered.

Hope this helped! :)

Write an expression that is equal to 8 using each number and symbol below exactly one time in the expression. Explain your thinking. 1 2 3 power of 3 + - ( )

Answers

Answer:

[3+ 1- (2 )]³

Step-by-step explanation:

[3+ 1- (2 )]³= 8

[ 4-2]³=8

[2]³= 8

The smaller brackets around 2 indicate that minus is being multiplied by 2 making it -2. As the signs of 1and 3 are the same i.e + they both are added and the answer is 4. Now 4 has the +ve  sign and 2 has the -ve sign so 2 is subtracted from 4 and we get a +ve 2 . Now 2 raise to power 3 gives 8 which is the required number.

Only 2 raised to power 3 gives a 8. any other number like 3 or 1 raise to power does not give an eight.

i need help solving for x with angles​

Answers

Y= 150 °

The angle Y is the same as the angle on the other side

In City​ A, the temperature rises 4F from 8 A.M. To 9 A.M. Then the temperature drops 7F from 9 A.M. To 10 A.M. In City​ B, the temperature drops 6F from 8 A.M. To 9 A.M. Then the temperature drops 2F from 9 A.M. To 10 A.M. Write an expression that represents the change in temperature from 8 A.M. To 10 A.M. For each city. Simplify and interpret each sum.

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

The general term for temperature variations from 8 am to 10 am:  

[tex]\to \delta_{S - 10}=\delta_{S -9}+\delta_{S-10}[/tex] Where [tex]\delta[/tex] represents a transition throughout the time interval subscribed to.  

In this, the city of A:  

[tex]\to \delta_{S-10}=4-7= -3^{\circ}\ F[/tex]

In this, the city of B:  

[tex]\to \delta_{S-10}=-6-2= -8^{\circ}\ F[/tex]

It decrease of 3°  (non-value) overall in city A.  

Temporarily, in city B, is 8° C. City B has a greater temperature change (8 vs. 3) between A and B.

baroque history/ events

Answers

Answer:

Baroque is a particular style in architecture, music and the arts that was popular between the late 17th and mid-18th centuries, especially in Catholic countries.

It is characterized in architecture and drawing using flexible or dotted lines, floral and gilded ornamentation (which gave rise to the Rococo style) and spatial effects. Among the most important baroque artists could be mentioned Bernini, Borromini, Caravaggio and Rubens.

In music compositions by composers such as Johann Sebastian Bach and Monteverdi are associated with baroque music. This was the period that saw the development of the opera.

In literature, Baroque is a less definite and defined term. Picaresque novels of the period could be considered as an example. It was an important influence on the literature of the period as well, especially in France, Italy, southern Germany and Spain.

Which one?
A. B. C. Or D?​

Answers

Answer: A

brainliest please? ty

11. If it was a 0.5% chance to win a lottery with 50,000 tickets printed, how many winners would there be?

Answers

This is the answer considering that the number tells the tickets that will win so if each person will buy only one ticket they will be 250 winners

rewrite -6x+2y-12=-15 into standard form​

Answers

Answer:

6x-2y=3

Step-by-step explanation:

hope this helps!

Standard form :6x-2y=3

helpp ill mark u as brainlist​

Answers

Answer:

it is non proportional

Step-by-step explanation:

I think it’s non proportional because it is growing at a different rate of change for y and x

Which equation below illustrates the distributive
property?
Select one:
5(x 3) = 5x - 15
4x + 5 = 5 + 4x
(5x + 2 v) + 3 = 5r+ (2v + 3)
360 -2) + 3(2+)

Answers

Answer:

1st Equation

Step-by-step explanation:

Distributive Property is when you distribute a multiplied term to multiple terms inside of a parenthesis.

Examples:

3(x + 2) = 3x + 6

4(x + 7) = 4x + 28

So, the only answer choice is the 1st Equation.

PLEASE HELP ME
Find the domain and range

Answers

Answer:

Step-by-step explanation:

Domain: 3, -1, 1,

Range: 5, 2, -1, 4

Answer: domain is (-3, -1, 1,) range is (5, 2, -1, 4)

Step-by-step explanation:

Domain is all possible x values.

Range is all possible Y values.

1, 1, 2, 3, 5, 8, next 5 and conjecture

Answers

Answer:

im not 100% sure. But imma guess 12 and 17

Step-by-step explanation:

bc each time they are going up 1 number tht they r adding

Hope u get it right plz give brainliest

You use a garden hose to fill a pool. If the water level rises 17 centimeters every 7 minutes and you record the data point of ​(21​,y), what is the value of​ y? Use slope to justify your answer.

Answers

Answer:

Step-by-step explanation:

If the water level rises 17 centimeters every 7 minutes, then (21, y)means that after, 21 minutes, it would have rise by y centimeters, using the equality postulate:

17cm = 7min

y =  21min

Cross multiply

7y = 21*17

y = 21*17/7

y = 3*17

y = 51cm

Hence the value of y is 51

I'LL MARK AS BRAINLY Brenda can afford a $565-per-month automobile payment, and she's interested in either a pickup truck, which costs $28,100, or an SUV, which costs $28,500. She's being offered a 5-year loan with an APR of 7.2%, compounded monthly. Help Brenda figure out which of the vehicles she can afford.
Part I: What is the periodic interest rate of the loan that Brenda is being offered?
Part II: How many total payments does the loan that Brenda is being offered require?
Part III: What is the largest amount of money that Brenda can afford to borrow?
Part IV: Can Brenda afford the pickup truck?
Part V: Can Brenda afford the SUV?

Answers

Answer:

Part I:

0.6%

Part II

The total number of payment the 5 year loan Brenda is being offered requires 60 payments

Part III

The largest amount Brenda can afford to borrow is approximately $28,398.103

Part IV:

Brenda can afford the pickup truck

Part V:

Brenda cannot afford the SUV

Step-by-step explanation:

Part I:

The amount of monthly payment Brenda can afford = $565

The cost of the pickup truck = $28,100

The cost of an SUV = $28,500

The number of years loan she is offered = 5 year

The Annual Percentage Rate (APR) of the loan = 7.2%

The rate at which the interest is compounded = Monthly

Part I Given that the interest rate is compounded monthly, we have the periodic interest rate for an APR of 7.2% compounded monthly = 7.2/12 = 0.6%

∴ The periodic interest rate = 0.6%

Part II

For a 5 year loan with month payment, we have;

The number of month per year = 12 months

∴ The number of payment per year = 12

The total number of payment the 5 year loan Brenda is being offered requires 5 × 12 = 60 payments

Part III The total amount Brenda can afford to pay in 5 years, is given by the formula for monthly payment on loan as follows;

[tex]A = P \times\dfrac{r \times \left (1 + r \right )^n}{\left (1 + r \right )^n - 1}[/tex]

Where;

A = The amount (she can) payed monthly = $565

r = The periodic interest rate (APR/12) = 7.2%/12 = 0.6%/12 = 0.006

t = The number of time period for the loan duration = 5 years

n = The number of payments made = 12 × 5 = 60 payment

P = The amount (she can) borrowed as loan

Plugging in the values gives;

[tex]565 = P \times\dfrac{0.006 \times \left (1 + 0.006 \right )^{60}}{\left (1 + 0.006 \right )^{60} - 1} \approx P \times 1.9896 \times 10^{-2}[/tex]

[tex]P = \dfrac{565}{1.9896 \times 10^{-2}} \approx 28398.103[/tex]

∴ The largest amount Brenda can borrow as loan = P ≈ $28,398.103

Part IV: The cost of the pickup truck = $28,100 which is less than the largest amount Brenda can borrow as loan which is approximately $28,398.103, therefore, Brenda can afford the pickup truck

Part V: The cost of the SUV = $28,500 which is more than the largest amount Brenda can borrow as loan which is approximately $28,398.103, therefore, Brenda cannot afford the SUV.

URGENT PLEASE EXPLAIN WHY ITS CORRECT ASWELL

Answers

Answer: 20.1

Step-by-step explanation: Based on triangle sum theorem all angles add up to 180. 3x-11+6x-10+x=180

Combine like terms. 10x-21=180

Add 21 to both sides. 10x=201

Divide by 10 on both sides. X=20.1

1–solve for h(x) = -2(x + 5) -2 if h(x) = -20


2- evaluate the function h(x) = 5-3x when h(0)

Answers

1. -2x-10-2=-20
X=4

2. 5-3x=0
X=5/3

Score: 0.5 of 1 pt
3.5.13
Find the value of each variable in the figure on the right.
ogo
4
340
Jo
x= 85 (Simplify your answer.)

Answers

Answer:

85

Step-by-step explanation:

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