Suppose that Sin(θ)=5/13 and cos(θ)=-12/13. Find the value of tan(θ), cot (θ), CSC (θ), and sec (θ). Find the value of tan(2θ)
I know the values are tanθ=5/12, cscθ=13/5, secθ=13/-12 and cotθ=-12/5 but I don't know how to find tan(2θ)

Answers

Answer 1

Answer:

Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.

The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.

The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).

Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).  

Simplified, this becomes tan 2θ = -336/527.  

Therefore, the answer is C. -336/527.


Related Questions

True or False: The FOIL method is an example of the distributive
property.

Answers

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Technically, you're distributing the expression in parentheses to the one in the other set of parentheses. Or in another way, you're distributing one number to 2 terms, then another, then the opposite way twice.

write a real word problem that can be modeled by 4 x (-7)

Answers

Answer:

The bakery also has 4 cakes, and Yena wants to get 7 times the cake from the bakery. How much will all of Yena take?

Step-by-step explanation:

Solve 4(t - 7) = 12 - t *
how can I solve this ?

Answers

Answer:

t = 8

hope it help you

thanks!

8th Grade Math.Help me Lol Thanksss Which graph represents a decreasing trend?​

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The last graph

Because it's going toward the negative numbers.

-6 + x = -5
4.
Pls help doing a test

Answers

Answer:

x=1

Step-by-step explanation:

HELPPPP please

determine whether each number is a solution of the given inequality
2m-4 ≥ 10

Answers

Answer:

m = 7

Step-by-step explanation:

2m + -4 = 10

Reorder the terms:

-4 + 2m = 10

Solving

-4 + 2m = 10

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2m = 10 + 4

Combine like terms: -4 + 4 = 0

0 + 2m = 10 + 4

2m = 10 + 4

Combine like terms: 10 + 4 = 14

2m = 14

Divide each side by '2'.

m = 7

Simplifying

m = 7

What are the three ways that you can measure pH?

Please help

Thank you

Answers

Answer:

Beginner. Use a paper strip coated in a pH indicating dye. Dip the strip into the water and wait for the strip to change color. ...

Intermediate. Use a pH testing kit for liquids. ...

Advanced. A digital pH meter can be used to obtain the most accurate reading of the pH level.

Step-by-step explanation:

Answer the following questions below using the image

Answers

Answer:

A. 25:30

Sorry I'd help with the rest but my brain kinda died

10. Triangle A and triangle B are similar. The perimeter of triangle A is 15 m and the perimeter of
triangle B is 30 m. What is the ration of the perimeter of triangle B to the perimeter of triangle
A?
02:1
3:1
3:2
5:3
Someone help please is it A?

Answers

Answer:

2:1

Step-by-step explanation:

I think I'm not 100 percent sure

Equity in your home = fair market value - outstanding balance. If your home is worth $125,000 and you have an outstanding balance of $36,000, what is your equity?

Answers

Answer:

89,000 I think

Step-by-step explanation:

just subtract 125,000 by 36,000

although Its a guess

Answer:

$89,000

Step-by-step explanation:

To find your equity, subtract the outstanding balance from your home value:

125,000 - 36,000

= 89,000

So, your equity is $89,000

6xy3
The degree of 6xy is

Answers

The degree is 3 I hope this helps

Answer:

the answer is 4 hope this is what your looking for..

Determine the equation of the line that goes through the points (-2,1) and (1,-1) PLEASE HELP!!​

Answers

Answer:

y= -2/3x + 8/3

do you really want a explanation?

Solve using the substitution method:

y = -2x - 7
y = 3x + 3​

Answers

Substitute
So, -2x-7 = 3x + 3
+2x. +2x
-7= 5x +3
-5x. -5x

-5x-7= 3
+7. +7
-5x= 10

Divide -5 on both sides and you get x= -2

Then substitute -2 in the first equation

-2(-2)-7
4-7
Y= -3

Help will give crown!!

Answers

Answer:

Mixed number: [tex]3\frac{15}{100}[/tex]

Improper fraction: [tex]\frac{315}{100}[/tex]

Step-by-step explanation:

A mixed number is a number that contains an integer part and a fraction part.

An improper fraction is a fraction where the numerator is greater than the denominator.

[tex]3.15[/tex] can be written as [tex]\frac{315}{100}[/tex] in its fraction form. This would be an improper fraction since the numerator is greater than the denominator.

The mixed number is [tex]3\frac{15}{100}[/tex] since [tex]100[/tex] goes into [tex]315[/tex] three full times and the remainder is [tex]15[/tex].

∴The mixed number is [tex]3\frac{15}{100}[/tex] and the improper fraction is [tex]\frac{315}{100}[/tex].

Other guy who answered is right

Which of these skills are used in game design?

drawing OR artistic visualization OR project management OR all of the above

Answers

All of the above. Because if you think about it game designing it’s like the editing part of the movie you have to draw in the special Effects, visualize what they look like, and you have to have good project management so you can get it done on time

Solve for x: -9x + 13 = -14

Answers

Answer:

3

Step-by-step explanation:

- rearrange: -9x= -14 -13

x = -27/-9 = 3

X is 3, 27+13=-14 x=3

To encourage Jack to read during the summer, his father offers an incentive (reward). He will pay Jack $5 for the first book he reads. For each
additional book Jack reads, his father will pay him an amount that is equal to some percentage, x, of the amount he paid for the previous book. Jack's
father agrees to let Jack choose a value for x, and Jack would obviously like his total earnings to be as large as possible.
Which of these options will allow Jack to earn an unlimited amount of money from his father, as long as he reads more and more books?
Play
X= 5%
X=25%
X=99%
X=101%

Answers

Answer:

x=25%

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!

t(r+4)=28 solve for t

pls help ​

Answers

Answer: 28/r+4

Step-by-step explanation: Divide each term by r + 4 and simplify

Answer:

t=28/r+7

Step-by-step explanation:

how to graph -2 f(x)

Answers

The guy above me is right!!!!

please andwer this for me <3

Answers

Answer:

C

Step-by-step explanation:

16 : 12

x   : 6

- multiply 16*6 and divide by the number multiplying with the unknown (12)

(16*6)/12 = 8

- area of triangle is 1/2 h*b

so 1/2 * (16*8) = 64

Which of the following systems of linear inequalities is represented by the
solution graphed below?

Answers

Answer:

C.

Step-by-step explanation:

We know it's y > 2 cuz the red line is y and it's dashed so its just > not > with a line under.

The blue line is solid so it's > with a line under. The blue line also represents y  and the shaded region is above the line so its y > or equal x.

Hope that makes sense

The inequalities represented by the graph are; y  < 2 and y >= x.

So option C is correct.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

The Set of such values is called solution set to the considered equation or inequality.

The graph as shown in the task content includes the horizontal line; y = 2 and the line; y = x.

However, the area shaded in the graph coincides with the upper area of y = 2 with broken lines as boundary and the lower area of line; y = x with a solid boundary line.

Hence, The inequalities represented by the graph are; y  < 2 and y >= x.

So option C is correct.

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ2

PLZ HELP IDK WHAT THIS MEANS

Which of the following notations correctly describe the end behavior of the
polynomial graphed below?

Answers

Answer: Option B.

Step-by-step explanation:

In the graph we can see the graph of a quadratic equation (from this we could conclude that the graph will not change the current direction for the arms, so the arms will keep going down), and we also can see that as x increases in absolute value, the value of y decreases.

Then we could conclude that as IxI is really big, we will have that f(x) goes to minus infinity

x -->∞, f(x) --> -∞

x--> -∞, f(x) --> -∞

Then the correct option is B

Answer:

Option B!

Step-by-step explanation:

What is the inverse of this function?​

Answers

Answer:

[tex]f^{-1}(x)=4x^2-3[/tex]

Step-by-step explanation:

The Inverse of a Function

Given a function f(x), the inverse of f, called [tex]f^{-1}(x)[/tex] is a function that satisfies:

[tex]f(f^{-1}(x))=x[/tex]

The domain of f becomes the range of its inverse and vice-versa.

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

* Solve the equation for x.

* Swap the variables

We are given the function:

[tex]\displaystyle f(x)=-\frac{1}{2}\sqrt{x+3}[/tex]

Defined in the interval x ≥ -3

Note f is always negative, thus its range is f(x) ≤ 0

Now we find the inverse. Call y=f(x):

[tex]\displaystyle y=-\frac{1}{2}\sqrt{x+3}[/tex]

Multiplying by 2:

[tex]\displaystyle 2y=-\sqrt{x+3}[/tex]

Squaring both sides:

[tex]\displaystyle 4y^2=x+3[/tex]

Subtracting 3:

[tex]\displaystyle 4y^2-3=x[/tex]

Swapping variables:

[tex]y=4x^2-3[/tex]

Thus:

[tex]\mathbf{f^{-1}(x)=4x^2-3}[/tex]

The domain of the inverse is the range of f, thus x is restricted to

x ≤ 0

will mark brainliest pls :)
do not scam :(

Answers

Answer:

I think -$111.21 soB i am really bad at math

Step-by-step explanation:

There is a pile of rocks. When 4.6 tons are removed, the
remaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons

Answers

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5


Find the sum of -3/4+ -7/6

Answers

Answer:

-23/12 or  -1.91666666667

What is the slope of the line below?
Give an exact number.

Answers

the slope is 2/3. Rise over run

what is -1/6 multiplied by 6

Answers

Answer:

[tex]-1[/tex]

Step-by-step explanation:

Step 1:  Multiply

[tex]-\frac{1}{6} * \frac{6}{1}[/tex]

[tex]-\frac{1*6}{6*1}[/tex]

[tex]-\frac{6}{6}[/tex]

[tex]-1[/tex]

Answer: The correct answer is -1

Find the square root of ±144−−−√.

Answers

Answer:

±12

Step-by-step explanation:

I NEED SOMEONE TO HELP ME WITH MATH RIGHT NOW​

Answers

Answer:

where is it

Step-by-step explanation:

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