Home
Class 11
MATHS
If (sin^(-1)a)^(2)+(cos^(-1)b)^(2)+(sec^...

If `(sin^(-1)a)^(2)+(cos^(-1)b)^(2)+(sec^(-1)c)^(2)+(cosec^(-1)d)^(2)=(5pi)^(2)/2`, then the value of
`(sin^(-1)a)^(2)-(cos^(-1)b)^(2)+(sec^(-1)c)^(2)-(cosec^(-1)d)^(2)` is equal to

A

`-pi^(2)`

B

`-(pi)^(2)/2`

C

`0`

D

`(pi^(2))/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|6 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -I LEVEL -II (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|7 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

sec^(-1)(-3/2)+cosec^(-1)(-3/2)=(pi)/2

sec^(-1)(4)+cosec^(-1)(4)=(pi)/2

If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is

"cosec"h^(-1) ((3)/(2))+"cosec"h^(-1)(-(1)/(2))=

If Cosec^(-1)x=2Cot^(-1)7+Cos^(-1)(3//5) then the value of x is

sec^(2)(tan^(-1)(2))+cosec^(2)(cot^(-1)(2))=

sec h^(-1) ((1)/(2)) - "cosec h"^(-1) ((3)/(4)) =

Sin^(-1)(2cos^(2)x-1)+Cos^(-1)(1-2sin^(2)x)=