Inverse Trig Functions

Inverse Sine

100

sin^-1(1/2)

What is 30 degrees or π/6 radians?

200

sin^-1(3/4) (round to the nearest tenth of a degree)

What is 48.6 degrees?

300

arcsin(0.33) (round to nearest tenth of a degree)

What is 19.3 degrees?

400

cos(Θ) = 24/25. Find the value of sin(Θ).

What is 7/25?

500

sin^-1(cos(4π/3))

What is -π/6 radians?

Inverse Cosine

100

arccos(1/2)

What is 60 degrees or π/3 radians?

200

cos^-1(√3/2)

What is 30 degrees?

300

ΔABC is a right triangle. The right angle lies at ∠B. AB= 6. BC= 8. CA= 10. Find the measure of ∠A.

What is 53.1 degrees?

400

Evaluate cos(sin^-1(.6))

What is 0.8?

500

Find cos^-1(sin(5π/3))

What is 5π/6?

Inverse Tangent

100

Find tan^-1(0.5)

What is 26.6 degrees?

200

arctan(-√3)

What is -60 degrees or -π/3?

300

tan^-1(csc(-π/2))

What is -π/4?

400

sin(Θ)= 5/13. cos(Θ)=12/13. tan(Θ)= 5/12. Find m∠Θ.

What is 22.6 degrees?

500

Find tan(cos^-1(-7/13))

(Fully simplify radicals and fractions)

What is (2√30)/7?

Inverse Grab-Bag

100

cos^-1(2)

What is DNE?

200

Find sec(tan^-1(5/3))

(Fully simplify radicals and fractions)

What is √34/3?

300

Find sin^-1(sec(π))

What is -π/2?

400

sin^-1(tan(cos^-1(-1/2)))

What is DNE?

500

tan(cos^-1(x))

What is (√1-x²)/x?

Review Problems

100

Find the tan(165º)

What is √3 - 2?

200

sin(X) = 15/17 where X is in Q1. Find tan(2X).

What is -240/161?

300

cos(X)=5/13 where X is in Q4. Find sin(X/2). 

(Fully simplify all fractions and radicals)

What is (2√13)/13?

400

Find cos(-15º).

What is (√6 + √2)/4?

500

Find sin(35π/18)cos(7π/9)–cos(35π/18)sin(7π/9)

What is -1/2?