Special Right Triangles
Inverse Trig Functions (Answers in Degrees)
Degrees
Radians
Right Triangles
100

The value of X. 

What is 7

100

\sin^-1(\frac{1}{2})

What is 

30^\circ

100

\sin45^\circ

What is 

\frac{\sqrt{2}}{2}

100

\sin \frac{\pi}{6}

What is 

\frac{1}{2}

100

Find angle A in the triangle when a = 4 and b = 5.

Round your answer to the nearest tenth (1 decimal).

What is 38.7o.

200

The value of c

What is 

7\sqrt2

200

\cos^-1(1/2)

What is 

60^\circ

200

\cos 150^\circ

What is 

-\frac{\sqrt{3}}{2}

200

\cos \frac{\pi}{2}

What is 0.

200

Find angle B in the triangle when b = 25 and c = 30.

Round your answer to the nearest tenth (1 decimal).

What is 56.4o

300

The value of Y

What is 2

300

\tan^-1(1)

What is 

45^\circ

300

\tan 270^\circ

What is undefined. 

300

\tan \frac{5\pi}{4}

What is 1

300

Find angle A in right triangle ABC when a = 5 and c = 10.

What is 30o

Since side a is half of side c, then this is a 30-60-90 triangle.

400

The value of Y

What is 2.

400

\tan^-1 \sqrt{3}

What is 

60^\circ

400

\cos 300^\circ

What is 

\frac{1}{2}

400

\tan 0 

What is 0.

400

Find side a in right triangle ABC when A = 40o and b = 10.

Round your answer to the nearest tenth (1 decimal).

What is 8.4. 

500

The value of x.

What is 

4\sqrt3

500

\cos^-1 \frac{\sqrt{3}}{2}

What is 

30^\circ

500

\tan(-60^\circ)

What is 

-\sqrt{3}

500

\sin (-\frac{2\pi}{3})

What is 

-\frac{\sqrt{3}}{2}

500

Find angle B in right triangle ABC when a = 3 and c = 

3sqrt2

What is 45o.

Since side c is square root 2 times side a, then this is a 45-45-90 triangle.