Home
Class 12
MATHS
Write the value of cos(2\ sin^(-1)1/3) ....

Write the value of `cos(2\ sin^(-1)1/3)` .

Text Solution

Verified by Experts

Given,
`cos(2sin^(−1)(1/3)​)`
Let `sin^(−1) (1/3)​=theta`
`=>sintheta=1/3​`
`=>sin^2theta=1/9​`
`cos(2sin^(−1) (1/3​)`
`=cos(2theta)`
`=1−2sin^2theta`
...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos
  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

Write the value of cos(2\ sin^(-1)1/2)

Write the value of cos(sin^(-1)x+cos^(-1)x) , |x|lt=1 .

Write the value of 2 sin^(-1)(1/2)+cos^(-1)(-1/2)

Write the value of cos^(-1)(1/2)+2\ sin^(-1)(1/2)

Write the value of sin(2sin^(-1)((3)/(5)))

Write the value of sin^(-1)(1/3)-cos^(-1)(-1/3) .

Write the value of cos^(2)((1)/(2)cos^(-1)(3)/(5))

Write the value of cos^(-1)(-(1)/(2))+2sin^(-1)((1)/(2))

Write the value of 2sin^(-1)backslash(1)/(2)+cos^(-1)((a-b)/(a+b))

Write the value of cos^(-1)(cos350)-sin^(-1)(sin350)