Home
Class 12
MATHS
Prove that: sec^(2) (tan^(-1)2) + "cosec...

Prove that: `sec^(2) (tan^(-1)2) + "cosec"^(2)(cot^(-1)3)=15`.

A

15

B

10

C

-15

D

-10

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples : Subjective Type Examples|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|5 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

Prove that sec^(2) (tan ^(-1) 3) + cosec^(2)(cot^(-1)2) = 15

sec^(2) (tan^(-1) 4) + cosec^(2) (cot ^(-1) 3) =?

Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(sec^(-1)2)+cot^2(cos e c^(-1)3)=11

Prove that: sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3)=15 and tan^2(sec^(-1)2)+cot^2(cos e c^(-1)3)=11

sec^(2) (tan^(-1) 2) + cosec^(2) (cot^(-1) 3) is equal to

Prove that : (sec^(2)A-1)("cosec"^(2)A-1)=1

prove that : tan ^(2) (sec ^(-1) 2) + cot ^(2) (cosec ^(-1)3) = 11.

Prove that : "tan"^(2)("sec"^(-1) 2)+"cot"^(2)("cosec"^(-1) 3)=11 .

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

Prove that: tan(A/2)+ cot(A/2)=2 "cosec"A