Question

If y= sin^-1 x, then x belongs to the interval (a)(0,π) (b) (-1,1) (c) [-1,1] (d) [0,π]​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

$\sf{If \: \: y = { \sin}^{ - 1}x }$

then x belongs to the interval

(a)(0,π)

(b) (-1,1)

(c) [-1,1]

(d) [0,π]

EVALUATION

Here it is given that

$\sf{y = { \sin}^{ - 1}x }$

$\sf{ \implies x = \sin y}$

$\sf{Now \: \: - 1 \leqslant \sin y \leqslant 1}$

$\sf{ \implies \: - 1 \leqslant x \leqslant 1}$

$\sf{ \implies x \in [ \: - 1 \: , \: 1 \: ] }$

FINAL ANSWER

The correct option is (c) [ -1 , 1 ]

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. tan⁻¹2 +tan⁻¹3 is.....,Select Proper option from the given options.

(a) - π/4

(b) π/2

(c) 3π/4

(d) 3π/2

https://brainly.in/question/5596487

2. tan⁻¹(x/y)-tan⁻¹(x-y/x+y)=.......(x/y≥0),Select Proper option from the given options.

(a) π/4

(b) π/3

(c) π/2

(d) π

https://brainly.in/question/5596504