Home
Class 12
MATHS
For the principal values, evaluate each ...

For the principal values, evaluate each of the following: `tan^(-1){2cos(2s in^(-1)1/2)}` `"cot"[sin^(-1){cos(tan^(-1)1)}]`

Text Solution

Verified by Experts

`tan^(-1)[2 cos ( 2 sin^(-1)""(1)/(2))]`
`=tan^(-1)[2 cos(2 sin^(-1)sin""(pi)/(6))]`
`=tan^(-1)[2 cos (2*(pi)/(6))]`
`=tan^(-1)(2*(1)/(2))=tan^(-1)(1)`
`=tan^(-1)(tan""(pi)/(4))=(pi)/(4)`
Promotional Banner

Topper's Solved these Questions

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exericse 2.1|14 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|44 Videos

  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|9 Videos

Similar Questions

Explore conceptually related problems

For the principal values,evaluate each of the following: tan^(-1){2cos(2sin^(-1)((1)/(2)))}cot[sin^(-1){cos(tan^(-1)1)}]

Find the values of each of the following : tan^(-1) [ 2 cos (2 sin ^(-1). 1/2 ) ]

For the principal values,evaluate each of the following :(cos^(-1)1)/(2)+2(sin^(-1)1)/(2) (ii) cos^(-1)((1)/(2))-2sin^(-1)(-(1)/(2))

Find the principal values of the following : tan^(-1) (1) +cos^(-1) (-1/2) +sin^(-1) (-1/2)

For the principal values,evaluate each of the following: sin^(-1)(-(1)/(2))+2cos^(-1)(-(sqrt(3))/(2))( ii) sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

Find the principal value of each of the following: tan^(-1)((cos pi)/(2))( ii) tan^(-1)(2(cos(2 pi))/(3))

sin{cot^(-1)[cos(tan^(-1)x)]}=....

The value of cot [sin^(-1){cos(tan^(-1)1)}] is