Home
Class 12
MATHS
sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1...

`sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=`

A

5

B

10

C

15

D

20

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

For any real number x ge 1 , the expression sec^(2) ( tan^(-1)x) - tan^(2) ( sec^(-1) x) is equal to

Evaluate the following (sec^(2) theta -1 ) (cosec ^(2) theta -1)

The value of tan^(2) (sec^(-1) 2) + cot^2 ("cosec"^(-1) 3) is :

sec (cosec^(-1) x)=

Are these identities true only for 0^(@) le A le 90 ^(@) ? If not ,for which other values of A they are true ? sec^(2) A-tan ^(2) A =1 " " cosec ^(2) A - cot ^(2) A=1

If 2 tan ^(-1)(cos x)=tan ^(-1)cosec^(2) x) then x=

sec^(2)2x=1-tan2x

cot ^(-1) 3+sec ^(-1) (sqrt(5))/(2)=

Prove that (sin A +cosec A) ^(2) +(cos A +sec A) ^(2) =7+ tan ^(2) A +cot ^(2) A