Inverse Trigonometric Functions

Problem: 1

Write the given equation in the form of inverse function.

sin 45 = y

Problem: 3

Write the given equation in the form of inverse function.

cos(30 ) = x

Problem: 5

Find the angle measure in degrees:

tan^–15.536

Round your answer to the nearest tenth.

Problem: 7

Without the help of a calculator, evaluate:

Give your answer in both radians and degrees.

Problem: 9

Determine the value in degrees and in radians without using calculator.

arctan(1/ √ 3)

Problem: 11

Find the angle measure in degrees:

Round your answer to the nearest tenth.

Problem: 13

Find the value of sin^–1 0.3 in both radians and degrees.

Use a calculator and round the result to three significant digits.

Problem: 15

Find the value of cos^–1 0.18 in both radians and degrees.

Use a calculator and round the result to three significant digits.

Problem: 17

Find the value of tan^–1 0.43 in both radians and degrees.

Use a calculator and round the result to three significant digits.

Problem: 19

Find the measure of the angle θ in degrees and radians.

Problem: 21

Find the measure of the angle θ shown in the figure.

Round to three significant digits.

Problem: 23

Find the value of x where

Problem: 25

Solve.

Round to three significant digits.

Problem: 27

Solve.

Round to three significant digits.

Problem: 29

Two measures of ΔPQR are p = 8 and r = 13. Find the remaining sides and angles rounded to the nearest tenth, given that Q is a right angle.

(Here, p is the length of the side opposite P, q is the length of the side opposite Q, etc.)

Problem: 31

Use the Law of Cosines to solve for x. Round to the nearest tenth.

Problem: 1

Write the given equation in the form of inverse function.

sin 45 = y

Problem: 3

Write the given equation in the form of inverse function.

cos(30) = x

Problem: 5

Find the angle measure in degrees:

tan^–15.536

Round your answer to the nearest tenth.

Problem: 7

Without the help of a calculator, evaluate:

Give your answer in both radians and degrees.

Problem: 9

Determine the value in degrees and in radians without using calculator.

arctan(1/ √ 3)

Problem: 11

Find the angle measure in degrees:

Round your answer to the nearest tenth.

Problem: 13

Find the value of sin^–1 0.3 in both radians and degrees.

Use a calculator and round the result to three significant digits.

Problem: 15

Find the value of cos^–1 0.18 in both radians and degrees.

Use a calculator and round the result to three significant digits.

Problem: 17

Find the value of tan^–1 0.43 in both radians and degrees.

Use a calculator and round the result to three significant digits.

Problem: 19

Find the measure of the angle θ in degrees and radians.

Problem: 21

Find the measure of the angle θ shown in the figure.

Round to three significant digits.

Problem: 23

Find the value of x where

Problem: 25

Solve.

Round to three significant digits.

Problem: 27

Solve.

Round to three significant digits.

Problem: 29

Two measures of ΔPQR are p = 8 and r = 13. Find the remaining sides and angles rounded to the nearest tenth, given that Q is a right angle.

(Here,p is the length of the side opposite P, q is the length of the side opposite Q, etc.)

Problem: 31

Use the Law of Cosines to solve for x. Round to the nearest tenth.

Hotmath Practice Problems