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Worksheets

Inverse Trig Non Calculator

Total questions: 14

Worksheet time: 9mins

Name
Class
Date
1.

 sin1(1)\sin^{-1}\left(-1\right)  

a)

 π2-\frac{\pi}{2}  

b)

 π2\frac{\pi}{2}  

c)

 3π2\frac{3\pi}{2}  

d)

 3π2-\frac{3\pi}{2}  

e)

 π\pi  

2.

 arccos(32)\arccos\left(-\frac{\sqrt{3}}{2}\right)  

a)

 5π6\frac{5\pi}{6}  

b)

 7π6\frac{7\pi}{6}  

c)

 π6\frac{\pi}{6}  

d)

 11π6\frac{11\pi}{6}  

3.

 arcsin(12)\arcsin\left(-\frac{1}{2}\right)  

a)

 π6-\frac{\pi}{6}  

b)

 π6\frac{\pi}{6}  

c)

 5π6\frac{5\pi}{6}  

d)

 7π6\frac{7\pi}{6}  

4.

 tan1(1)\tan^{-1}\left(1\right)  

a)

 π4\frac{\pi}{4}  

b)

 π4-\frac{\pi}{4}  

c)

 00  

d)

undefined

5.

 arctan(33)\arctan\left(-\frac{\sqrt{3}}{3}\right)  

a)

 π6-\frac{\pi}{6}  

b)

 π6\frac{\pi}{6}  

c)

 π3\frac{\pi}{3}  

d)

 π3-\frac{\pi}{3}  

6.

 cos1(12)\cos^{-1}\left(\frac{1}{2}\right)  

a)

 π3\frac{\pi}{3}  

b)

 π3-\frac{\pi}{3}  

c)

 π6\frac{\pi}{6}  

d)

 π6-\frac{\pi}{6}  

7.

 cos(arcsin(22))\cos\left(\arcsin\left(\frac{\sqrt{2}}{2}\right)\right)  

a)

 22\frac{\sqrt{2}}{2}  

b)

 22-\frac{\sqrt{2}}{2}  

c)

1

d)

-1

8.

 sin1(cos(π3))\sin^{-1}\left(\cos\left(\frac{\pi}{3}\right)\right)  

a)

 π6\frac{\pi}{6}  

b)

 π3\frac{\pi}{3}  

c)

 π6-\frac{\pi}{6}  

d)

 π3-\frac{\pi}{3}  

9.

 cos1(cos(90°))\cos^{-1}\left(\cos\left(90\degree\right)\right)  
Type your answer in degrees!

(a)  

10.

 tan(arccos(32))\tan\left(\arccos\left(\frac{\sqrt{3}}{2}\right)\right)  

a)

 33\frac{\sqrt{3}}{3}  

b)

 32\frac{\sqrt{3}}{2}  

c)

 3\sqrt{3}  

d)

3

11.

 tan(arccos(32)+π3)\tan\left(\arccos\left(\frac{\sqrt{3}}{2}\right)+\frac{\pi}{3}\right)  

a)

 undefinedundefined  

b)

 11  

c)

 00  

d)

 3-\sqrt{3}  

12.

 cot(arctan(45))\cot\left(\arctan\left(\frac{4}{5}\right)\right)  
Write your answer as a fraction using the backslash.

(a)  

13.

 tan(sin1(35))\tan\left(\sin^{-1}\left(\frac{3}{5}\right)\right)  
Type your answer as a fraction.

(a)  

14.

 sin(cos1(513))\sin\left(\cos^{-1}\left(\frac{5}{13}\right)\right)  
Write your answer as a fraction.

(a)