Free Printable Inverse Trigonometric functions

1.

$\cos\left(\sin^{-1}\frac{\text{1}}{\text{4}}+\sec^{-1}\frac{4}{3}\right)$

a)

$\frac{\left(3\sqrt{15}-\sqrt{7}\right)}{16}$

b)

$\frac{\left(3\sqrt{15}-\sqrt{7}\right)}{4}$

c)

$\frac{\left(3\sqrt{15}+\sqrt{7}\right)}{16}$

d)

$\frac{\left(3\sqrt{15}+\sqrt{7}\right)}{4}$

2.

$\cot^{-1}\left[\cot\left(\frac{-9\pi}{4}\right)\right]$

a)

$\frac{\pi}{4}$

b)

$\frac{-\pi}{4}$

c)

$\frac{-3\pi}{4}$

d)

$\frac{3\pi}{4}$

3.

$\tan^{-1}(m/n)-\tan^{-1}[(m-n)/(m+n)]$

a)

π/3

b)

π/4

c)

π/2

d)

-3π/4

4.

Cos[sin^-1(-4/5)]

a)

(5√41)/41

b)

-3/5

c)

3/5

d)

(5√41)/41

5.

sin^-1[cosπ]

a)

0

b)

π

c)

π/2

d)

-π/2

6.

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

a)

√3

b)

√3/3

c)

-√3

d)

-√3/3

7.

csc^-1(-√(2))

a)

π/4

b)

3π/4

c)

-π/4

d)

-3π/4

8.

\cos^{-1}\cos\ \frac{13\pi}{6}\ =

a)

$-\frac{\pi}{6}$

b)

$\frac{\pi}{6}$

c)

$\frac{13\pi}{6}$

d)

$\frac{7\pi}{6}$

9.

tan-1 $\frac{2}{11}$ + $\tan^{-1}$ $\frac{7}{24}$ is equal to

a)

$\tan^{-1}\ \frac{2}{3}$

b)

$\tan^{-1}\ \frac{1}{2}$

c)

$\tan^{-1\ \ \ }\ \frac{21}{30}$

d)

$\tan^{-1}\ \ \frac{3}{4}$

10.

$\tan^{-1}\left(\sqrt{3}\right)-\ \cot^{-1\ \ \ }\left(-\sqrt{3}\right)$ is equal to

a)

$\pi$

b)

$\frac{\pi}{2}$

c)

$-\frac{\pi}{2}$

d)

0

11.

Q10. Find the principal value of : $\ Cos^{-1}\left\{\tan\ \left(\frac{-\pi}{4}\right)\right\}\$

a)

0

b)

π

c)

π/4

d)

3π/4

Inverse Trigonometric functions

Total questions: 11

Worksheet time: 13mins

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