1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry [639]
2 years ago
12

High school math question

Mathematics
1 answer:
Sloan [31]2 years ago
7 0

Answer: Choice C. x = \pm\frac{\pi}{6}

=========================================================

Explanation:

Recall that

\tan(x) = \frac{\sin(x)}{\cos(x)}\\\\

So we can say

\tan(3x) = \frac{\sin(3x)}{\cos(3x)}\\\\

The vertical asymptotes occur when the denominator is zero.

If we were to plug in x = \frac{\pi}{6}, then we'd have,

\tan(3x) = \frac{\sin(3x)}{\cos(3x)}\\\\\tan(3*\frac{\pi}{6}) = \frac{\sin(3*\frac{\pi}{6})}{\cos(3*\frac{\pi}{6})}\\\\\tan(\frac{\pi}{2}) = \frac{\sin(\frac{\pi}{2})}{\cos(\frac{\pi}{2})}\\\\\tan(\frac{\pi}{2}) = \frac{1}{0}\\\\\tan(\frac{\pi}{2}) = \text{und}\text{efined}\\\\

This shows that one vertical asymptote is at x = \frac{\pi}{6}

Through similar steps, you should find that another vertical asymptote is at x = -\frac{\pi}{6}

We can condense those two equations into x = \pm\frac{\pi}{6}

You might be interested in
Please help! Measure of angles. Will award brainliest
klasskru [66]

Answer:

110 degrees, 84 degrees

Step-by-step explanation:

Picture 1:

See attached image for the angles I am referencing.

measure of angle a= measure of the 110 degree angle because of corresponding angles

measure of angle b=measure of angle a because of vertical angles

Therefore, through transitivity, we can state that the measure of

angle b= angle a= 110 degrees

Picture 2:

angle x=84 degree angle through alternate interior angles.

3 0
3 years ago
Calculate the new area using a scale factor of 3.
Ludmilka [50]

Answer:

315

Step-by-step explanation:

Using a scale factor of 3 basically means just multiply the length and the width by 3.

So instead of 5 * 7, we are doing 15 * 21.

15 * 21 = 315

8 0
3 years ago
PLEASE HELP I WILL RATE 5 STARS AND MARK BRAINLIEST
Elza [17]

Answer:

It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant

8 0
2 years ago
If f(x)=2x+1, then f(-2)=___.
marysya [2.9K]

Answer:

-3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Armando’s home insurance has
igomit [66]

Answer:

a. Armando pays 2500

b The insurance pays 16900

Step-by-step explanation:

Armando has to pay 2500 always and the insurance company will pay all thats left to pay is what i understand by the question and the total payment both have to do is 19400.

19400

2500 = 16900

7 0
1 year ago
Other questions:
  • Draw an area model. Then, solve using the standard algorithm. 27x36
    10·1 answer
  • How can you tell on which two whole numbers an improper fraction would be located between on a number line?
    15·2 answers
  • 24 x 12 1/2 x 12 3/4 what is the volume of the fish tank
    6·1 answer
  • 15. The volume of a rectangular pyramid
    15·1 answer
  • If you are buying at item at a store for a price of $17, and there is a 8.7% tax added on top, what would be the total amount du
    6·2 answers
  • A snail travels 3 1/3 ft every hour. How far does the snail travel in 2 1/2 hours? Express your answer in simplest form.
    11·2 answers
  • Which of the following is 12 when rounded to the nearest number?
    8·1 answer
  • What is one plus one
    10·2 answers
  • Hey can someone help me with this I think I know the answer but I'm not sure​
    14·2 answers
  • Write the three questions for the pic thank you.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!