Home
Class 12
MATHS
Find the principal value of cos^(-1)(-sq...

Find the principal value of `cos^(-1)(-sqrt3/2)`.

Text Solution

Verified by Experts

Let `cos^(-1)(-sqrt3/2)=y`
`rArr cosy=-sqrt3/2`
`:'` The principal values of `cos^(-1)x" lie in "[0,pi]` and in this interval `cos.(5x)/6=sqrt3/2`
`:. Cos^(-1)(-sqrt3/2)=(5x)/6`
`:.` The principal value of `cos^(-1)(-sqrt3/2)" is " (5x)/6`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise TRY YOURSELF|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|45 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

Find the principal value of cot^(-1)(-sqrt3)

Find the principal values of cosec^(-1)(-sqrt2)

Find the principal value of sin^(-1)(-sqrt3/2)

Find the principal value of cos^(-1)(1/sqrt2) .

Find the principal value of sin^(-1)(sqrt3/2) .

Find the principal value of cosec^(-1)(2/sqrt3) .

Find the principal value of cosec^(-1)(-2/sqrt3) .

Find the principal value of: cos ec^(-1)(-sqrt(2))

Find the principal value of cos^(-1)(-1/2)