Use trigonometric identities to solve each equation within the given domain.a) sin^2(x) = cos(2x) from [, ]b) 3 tan(x) = 2 sin(2x) from [0, 2)c) sec(x) cos(3x) = 0 from [pi/2,pi/2]d) 1 cos(x) = 2 2 sin^2(x) from (, ) e) 4cos^4(x) 5cos^2(x) + 1 = 0 from [0, 2)

Mathematics High School

Use trigonometric identities to solve each equation within the given domain.
a) –sin^2(x) = cos(2x) from [–π, π]
b) 3 tan(x) = 2 sin(2x) from [0, 2π)
c) sec(x) cos(3x) = 0 from [–pi/2,pi/2]
d) 1 – cos(x) = 2 – 2 sin^2(x) from (–π, π)
e) 4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

Answers

Answer 1

Answer:

A) X=pi/2 or X=-pi/2

B) X=pi/6 or X=-pi/6

C) X=pi/4 , 3pi/4, 5pi/4 and 7pi/4

D) X= 1-cos^2(x/2)

E) X= pi/3 +2pi N, 5pi/3+2pi N

Step-by-step explanation:

Don't even bother asking. :)

Related Questions

Select the equalities that are true.
A. sin(90°) = cos(90°)
B. sin(81°) = cos(9°) C.sin(50°) = cos(40°)
D.sin(32°) = cos(68°)

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Answer:

So the answer is C.

Step-by-step explanation:

At a middle school, 1/5 of the students have a cell phone. If a student is chosen at random, what is the probability the student does not have a cell phone

Answers

4/5 is the correct answer

What are 2 ratios that are equivalent to 5:2

Answers

If you want to go a bit higher, 10:4, 15:6, 20:8, 25:10 and etc

−4(2x+5) in distributive property.

Answers

4(-2x)+4(-5)

-8x-20 would be the answer

Answer:

-8x-20

Step-by-step explanation:

Take -4 and x it with 2 and 5.

y - 4 = 3(x+2)
2x + 6y = 10

Answers

The slope intercept form of the first equation is y=3x+10. If the question asked standard form it is 3x-y=-10. If the question asked to solve for x, x=y/3-10/3.
The slope intercept form of the second equation is y=-1/3x+5/3. The equation is in standard form. If the question asked to solve for x, x=5-3y. A graph of both of these equations is below.

A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the distance between the helicopter and a car on the road is 45 m. calculate the angle of depression from the helicopter from the car.

Answers

Answer, 32.23°.

Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B
The distance from the helicopter to the car and the road forms a right triangle

=> ΔABC is a right triangle at B
=> the angle of depression from the helicopter from the car is ∠ACB
we have: ΔABC is a right triangle => sin ∠ACB = 24/45
=> m∠ACB = 32.23°

Answer:

32.33

Step-by-step explanation:

What is the point-slope equation of the line that is perpendicular to the line shown and passes through (-4, -3)?

Answers

Answer:

y+3= -4x

Step-by-step explanation:

general equation is (y-y1) = m(x-x1)

m=rise/run= -4/1 (is negative because looking from left to right on the graph it goes downward)

pick any point on the line to put in. the equation for example (0,-3)

y+3= -4x

15 points + Brainlest
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
x+y=-4
-2x-2y=6

Answers

Answer:

Step-by-step explanation:

x+y=-4 One solution of -4

-2x-2y=6 One solution of -3

Answer:

No solutions

Step-by-step explanation:

No values for x and y would make both statements true, therefore there are no solutions

I would appreciate brainliest, have an amazing day

Donna had $9 in her bank account. She made $16 when she mowed her neighbors' lawns. Then,
she spent $27 at the movies. How much is left in Donna's bank account?
$-2
$-20
$16
$52

Answers

Answer:

$-2

Step-by-step explanation:

Answer:

$-2

Step-by-step explanation:

9+16 = 25 - 27 = $-2

Sarah made a 72% on her science test. If she got 18 problems correct, how many questions were on the test?

Answers

There were 25 questions on the test

Jason wants to buy a game that cost $20. He earns $2 every time he washes the
dishes. He has washed the dishes 3 times. How many more times does he need to wash
the dishes to get his game?

Answers

Answer:

Step-by-step explanation:

10 x 2 = 20

10 - 3 = 6

how do you find the percentage of exponential decay?

Answers

Answer:

When an original amount is reduced by a consistent rate over a period of time, exponential decay is occurring. This example shows how to work a consistent rate problem or calculate the decay factor. The key to understanding the decay factor is learning about percent change.

Step-by-step explanation:

The formula for the pH of a solution of hydronium ions is given by the logarithmic equation pH=-log [H3O+], where [H3O+] is the hydronium ion concentration. Find the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10-4

Answers

Answer:

3.5

Step-by-step explanation:

We have the Logarithmic equation

pH=-log [H3O+],

We have the hydronium ion concentration = 3.2 x 10^-4

Hence,

pH = - log[3.2 × 10 ^-4]

pH = 3.4948500217

Approximately

pH = 3.5

Therefore, the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10^-4 is 3.5

Someone please help :(

Answers

Answer:

-2x^2+2x+6 + -6x+1/-x^2+2x+3

Step-by-step explanation:

plz hurry!!! i need help and I dont understand

Answers

Answer:

it wants you to find the slop by using the Y=mx+b

Step-by-step explanation:

this is how you solve.

Answer:

The slope is m = 7/3

The y-intercept is b = -5

Step-by-step explanation:

hope that helps!!!

Solve the equation for all real solutions.
4v^2+ 4v – 3 = 0

Answers

Answer:1/2,-4/3

Step-by-step explanation: Use quadratic formula

Answer:

v=− 3/2= -1.500

or v = 1/2 = 0.500

Simplify the expression and enter your answer below. (17 ^1/7)^7

Answers

Answer: 17

Step-by-step explanation:

The simplification of the expression [tex]{{17 }^{1/7}}^{7}[/tex]would be 17.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping are mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

Based on the law of exponents power of a power property we have:

[tex](a^b)^c = a^{b \times c}[/tex]

Therefore:

[tex]{{17 }^{1/7}}^{7}[/tex]

[tex]{{17 }^{1/7}\times^{7}[/tex]

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

2x+y=17 in slope-intercept form PLEASE

Answers

Answer:

y=2x + 17

Step-by-step explanation:

Kayla squared a number x and added this result to -6.5. This gave her an answer of 42.5.
What is the equation and one of the solutions to this equation?
A.X2 + (-6.5) = 42.5; 2 = 7
B.X2? + (-6.5) = 42.5; 2 = 6
C.2x+ (-6.5) = 42.5; x = 24.5
D.2x+ (-6.5) = 42.5; I = 18

Answers

Answer:

7, -7

Step-by-step explanation:

x^2-6.5= 42.5 add 6.5 to both sides

x^2= 49

The square root of 49 is 7 and -7.

Review the four points on the complex plane.

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (4, 3), B is (negative 3, 4), C is (negative 4, negative 3), D is (3, negative 4).

Which point represents the quotient of StartFraction 4 + 3 I Over negative I EndFraction ?

A
B
C
D

Answers

The point that represent the quotient of StartFraction 4 + 3 I Over negative I EndFraction should be B.

What is an imaginary line?

In terms of complex geometry, an imaginary line should refer to the straight line that only comprise of only one real point. It can be proven that this point should be treated as the intersection point along with the conjugated line.

hence, the The point that represent the quotient of StartFraction 4 + 3 I Over negative I EndFraction should be B.

Learn more about plane here: https://brainly.com/question/23625942

Answer:

C. C

Step-by-step explanation:

3-i/i = -1-3i

That's point C on the graph

Help Please!! ☼♥ Will give Brainliest!
Which statement correctly describes the relationship between the graph of f(x) and the graph ofg(x)=f(x)+3 ?

The graph of g(x) is the graph of f(x) translated 3 units right.

The graph of g(x)is the graph of f(x) translated 3 units up.

The graph of g(x) is the graph of f(x) translated 3 units down .

The graph of g(x)is the graph of f(x) translated 3 units left.

Answers

Answer:

Step-by-step explanation:

Answer:

The graph of g(x)is the graph of f(x) translated 3 units up.

Step-by-step explanation:

Given the equation y= 2x - 8, what is the slope and the y-intercept?
Om = 2 and b= 8
O m= 2 and b= -8
m= 8 and b=2
O m= -8 and b= 2

Answers

m = 2 and b = -8
mx+b !!

I need answer ASAP I have 30 minutes and 3 more questions to answer. SHOW YOUR WORK PLEASE.

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

a) After how many weeks will Andre and Elena have the same amount of money in their savings accounts? weeks

Answers

Answer:

6 weeks

Step-by-step explanation:

6*5=30

100+30=130

20*6=120

120+10=130

130=130

please HELP ASAP £ FREE BRAINLIST :)

Answers

Answer:

4.6 ft/s

2 ft/s

Step-by-step explanation:

what is -2.1, 0.5, -0.5, 5/100 ordered in least to greatest

Answers

Answer:-2.1,-0.5,5/100,0.5

Step-by-step explanation:

How do you fit 10 horses into 9 stalls?
first to get right gets brainliest

Answers

You squeeze them in together

You kill 1

You eat one

A letter for a stable. TENHORSES

Step-by-step explanation:

Answer:

[T] [E] [N] [H] [O] [R] [S] [E] [S]

Find the value of z

Answers

the value of z is 17

w=24 , 24-7 is 17

The value of Z is equal to 17 :)

Simplify using the order of operations (PEMDAS)

20 ÷÷4(-5) + (-3)

Answers

Answer:

the answer is −28

Step-by-step explanation:

If 3 inches equals 14 feet what is 35 feet in inches

Answers

Answer:

420 inches

Step-by-step explanation:

Answer:

what!? 13 feet in inches is 420 inches!

Which of the following points would not lie on the line y = 7?

Answers

Answer:

Which equation does the graph represent? ma y=mx+ b ... Which point does not lie on the graph x=-4? (-4,0) B. ... makes $54 one day, which of the following model(s) the situation? A. ... Find the slope of the line passing through the points (-6, 7) and (2,9). m ... 14 The equation of a line whose slope is 3 and y-intercept is 8 is.

Step-by-step explanation:

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Use trigonometric identities to solve each equation within the given domain. a) –sin^2(x) = cos(2x) from [–π, π] b) 3 tan(x) = 2 sin(2x) from [0, 2π) c) sec(x) cos(3x) = 0 from [–pi/2,pi/2] d) 1 – cos(x) = 2 – 2 sin^2(x) from (–π, π) e) 4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

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Use trigonometric identities to solve each equation within the given domain.
a) –sin^2(x) = cos(2x) from [–π, π]
b) 3 tan(x) = 2 sin(2x) from [0, 2π)
c) sec(x) cos(3x) = 0 from [–pi/2,pi/2]
d) 1 – cos(x) = 2 – 2 sin^2(x) from (–π, π)
e) 4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)