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#### Inverse Trigonometric Functions One Mark Questions

12th Standard EM

Reg.No. :
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Maths

Time : 00:30:00 Hrs
Total Marks : 10
5 x 1 = 5
1. The value of sin-1 (cos x),0$\le x\le\pi$ is

(a)

$\pi-x$

(b)

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

(c)

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

(d)

$\pi-x$

2. ${ sin }^{ -1 }\frac { 3 }{ 5 } -{ cos }^{ -1 }\frac { 12 }{ 13 } +{ sec }^{ -1 }\frac { 5 }{ 3 } { -cosec }^{ 1- }\frac { 13 }{ 2 }$is equal to

(a)

2$\pi$

(b)

$\pi$

(c)

0

(d)

tan-1$\frac{12}{65}$

3. If sin-1 x+sin-1 y+sin-1 z=$\frac{3\pi}{2}$, the value of x2017+y2018+z2019$-\frac { 9 }{ { x }^{ 101 }+{ y }^{ 101 }+{ z }^{ 101 } }$is

(a)

0

(b)

1

(c)

2

(d)

3

4. If ${ sin }^{ -1 }x-cos^{ -1 }x=\cfrac { \pi }{ 6 }$ then

(a)

$\cfrac { 1 }{ 2 }$

(b)

$\cfrac { \sqrt { 3 } }{ 2 }$

(c)

$\cfrac { -1 }{ 2 }$

(d)

none of these

5. The number of solutions of the equation ${ tan }^{ -1 }2x+{ tan }^{ -1 }3x=\cfrac { \pi }{ 4 }$

(a)

2

(b)

3

(c)

1

(d)

none

6. 5 x 1 = 5
7. cos-1(4x3-3x)

8. (1)

$\cfrac { \pi }{ 2 }$

9. $sin^{ -1 }\left( \cfrac { 1 }{ x } \right)$

10. (2)

$\pi -{ cos }^{ -1 }x$

11. cos-1(-x)

12. (3)

3cos-1x

13. ${ sec }^{ -1 }\left( \cfrac { 2 }{ 3 } \right) +{ cosec }^{ -1 }\left( \cfrac { 2 }{ 3 } \right)$

14. (4)

cosec-1x

15. $cos\left( { tan }^{ -1 }\left( \cfrac { 3 }{ 4 } \right) \right)$

16. (5)

$\cfrac { 4 }{ 5 }$