Quiz about Inverse Trig Functions

Question 1

In which two quadrants is inverse sine defined?

Accepted Answer

Quadrant I

Accepted Answer

Quadrant IV

Answer

Quadrant II

Answer

Quadrant III

Question 2

In which two quadrants is inverse cosine defined?

Accepted Answer

Quadrant I

Accepted Answer

Quadrant II

Answer

Quadrant III

Answer

Quadrant IV

Question 3

In which two quadrants is inverse tangent defined?

Accepted Answer

Quadrant I

Accepted Answer

Quadrant IV

Answer

Quadrant II

Answer

Quadrant III

Question 4

True or False: $$\arcsin\left(x\right)$$ is another way to write $$\sin^{-1}\left(x\right)$$ .

Accepted Answer

TRUE!

Answer

FALSE!

Question 5

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

$$\sin^{-1}\left(-\frac{\sqrt[]{3}}{2}\right)$$

Accepted Answer

$$300\degree$$

Answer

$$45\degree$$

Answer

$$30\degree$$

Answer

$$315\degree$$

Question 6

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

$$\arcsin\left(\frac{1}{2}\right)=$$

Accepted Answer

$$30\degree$$

Answer

$$45\degree$$

Answer

$$60\degree$$

Answer

$$90\degree$$

Question 7

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

$$\cos^{-1}\left(-\frac{1}{2}\right)=$$

Accepted Answer

$$120\degree$$

Answer

$$240\degree$$

Answer

$$60\degree$$

Answer

$$150\degree$$

Question 8

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

$$\arccos\left(-\frac{\sqrt[]{2}}{2}\right)$$

Accepted Answer

$$135\degree$$

Answer

$$180\degree$$

Answer

$$150\degree$$

Answer

$$120\degree$$

Question 9

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

$$\arctan\left(\sqrt[]{3}\right)$$

Accepted Answer

$$60\degree$$

Answer

$$300\degree$$

Answer

$$270\degree$$

Answer

$$30\degree$$

Question 10

Evaluate the inverse trig function USING THE UNIT CIRCLE. Give your answer in DEGREES.

$$ an^{-1}\left(-1 ight)=$$

Accepted Answer

$$315\degree$$

Answer

$$45\degree$$

Answer

$$330\degree$$

Answer

$$270\degree$$

Question 11

Find $$m\angle C$$ . Give your answer in DEGREES to the hundredths place. (Note: drawing is NOT to scale).

Accepted Answer

$$73.74\degree$$

Answer

$$90\degree$$

Answer

$$68.32\degree$$

Answer

$$70.48\degree$$

Question 12

Find $$m\angle T$$ . Give your answer in DEGREES to the hundredths place. (Note: drawing is NOT to scale).

Accepted Answer

$$16.26\degree$$

Answer

$$25.22\degree$$

Answer

$$73.74\degree$$

Answer

$$35.47\degree$$

Inverse Trig Functions

16 questions

In which two quadrants is inverse sine defined?

Remember, the range of inverse sine is restricted from -pi/2 to pi/2 (only Quadrants I and IV!)

In which two quadrants is inverse cosine defined?

Remember, the range of inverse cosine is restricted from [0, pi] (only Quadrants I and II!)

In which two quadrants is inverse tangent defined?

Remember, the range of inverse tangent is restricted from (-pi/2, pi/2) (only Quadrants I and IV!)

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