# Lesson Worksheet: Solving Equations Using Inverse Trigonometric Functions Mathematics

In this worksheet, we will practice solving equations by using inverse trigonometric functions in the first quadrant.

**Q2: **

Find, to the nearest tenth of a degree, the measure of the angle of .

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**Q18: **

Fill in the blank: Given that is an acute angle, if and , then .

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**Q19: **

Find the value of that satisfies the equation . Round your answer to two decimal places.

**Q20: **

Find the value of that satisfies the equation .

Round your answer to two decimal places.

**Q21: **

Given that is an acute angle, find the value of that satisfies the equation . Round your answer to two decimal places.

**Q22: **

True or False: The acute angle that satisfies is .

- AFalse
- BTrue

**Q23: **

True or False: The smallest positive angle that satisfies is .

- ATrue
- BFalse

**Q24: **

Find the acute angle that satisfies . Round your answer to two decimal places.

**Q25: **

If , find to the nearest second.

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