Home
Class 12
MATHS
Solve for x : i) cos(sin^(-1)x)=1/2 ...

Solve for `x` :
i) `cos(sin^(-1)x)=1/2`
ii) `tan^(-1)x=sin^(-1)1/sqrt(2)`
iii) `sin^(-1)x-cos^(-1)x=pi/6`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
i) `cos(sin^(-1)x)=1/2=cospi/3` or `cos(5pi)/3[i.e., cos(2pi-pi/3)]`
`rArr sin^(-1)x=pi/3` or `sin^(-1)x=(5pi)/3`
`rArr x=sinpi/3` or `x=sin(5pi)/3 rArr x=sqrt(3)/2` or `x=sin(5pi)/3 rArr x=sqrt(3)/2` or `-sqrt(3)/2`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Exercise 4D|6 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Objective Questons|57 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Exercise 4B|22 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos

  • LINEAR DIFFERENTIAL EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|27 Videos

Similar Questions

Explore conceptually related problems

Solve: cos(sin^(-1)x)=(1)/(6)

If sin^(-1)x + sin^(-1)y =(2pi)/3 , then: cos^(-1)x +cos^(-1)y=

Solve :cos(sin^(-1)x)=(1)/(6)

Solve : tan(cos^(-1) x) = sin (tan^(-1) 2)

Solve : (i)" "tan^(-1). x/2 +tan^(-1). x/3 = pi/4 , sqrt(6) gt x gt 0 (ii)" "sin(sin^(-1) . 1/5+cos^(-1)x)=1

If cos^(-1)x=tan^(-1)x , then sin(cos^(-1)x)=