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PC: Inverse Trig Functions

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

Identify the single function value for: sin1(32)\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)  .

a)

-π/3

b)

2π/3

c)

-2π/3

d)

π/3

2.

Identify the single function value for: tan1(1)\tan^{-1}\left(-1\right)  .

a)

3π/4

b)

-π/4

c)

5π/4

d)

-3π/4

3.

Identify the single function value for: sin1(12)\sin^{-1}\left(-\frac{1}{2}\right)  .

a)

π/6

b)

5π/6

c)

-π/6

d)

7π/6

4.

Identify the single function value for: tan1(0)\tan^{-1}\left(0\right)  .

a)

π/2

b)

0

c)

3π/2

d)

π

5.

Identify the single function value for: cos1(32).\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right).  

a)

5π/6

b)

2π/3

c)

-π/6

d)

7π/6

6.

Identify the single function value for: cos1(12)\cos^{-1}\left(-\frac{1}{2}\right)  .

a)

π/3

b)

2π/3

c)

4π/3

d)

-π/3

7.

Identify the single function value for: cos1(0).\cos^{-1}\left(0\right).  

a)

0

b)

 π2\frac{\pi}{2}  

c)

 π\pi  

d)

 π2-\frac{\pi}{2}  

8.

Identify the single function value for: tan1(3).\tan^{-1}\left(\sqrt{3}\right).  

a)

 π6\frac{\pi}{6}  

b)

 π3\frac{\pi}{3}  

c)

 2π3\frac{2\pi}{3}  

d)

 4π3\frac{4\pi}{3}  

9.

Identify the single function value for: sin1(0).\sin^{-1}\left(0\right).  

a)

0

b)

 π2\frac{\pi}{2}  

c)

 π\pi  

d)

 π2-\frac{\pi}{2}  

10.

Since (π,1)\left(\pi,-1\right)  is a point on  f(x)=cosxf\left(x\right)=\cos x  , which point will be found on  f1(x)=cos1xf^{-1}\left(x\right)=\cos^{-1}x  ?

a)

 (π,1)\left(\pi,1\right)  

b)

 (π,1)\left(-\pi,1\right)  

c)

 (1,π)\left(-1,\pi\right)  

d)

 (1,π)\left(1,-\pi\right)