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

Let `lambda=sec^2(tan^(-1)2)+cosec^2(cot^(-1)3)+2` then the value of `17lambda^2+7` is ……

Text Solution

Verified by Experts

The correct Answer is:
4920
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - H)(MULTIPLE TRUE-FALSE TYPE QUESTIONS)|1 Videos

  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

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

    A
    11
    B
    13
    C
    15
    D
    none

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

    A
    5
    B
    10
    C
    11
    D
    15

    • Similar Questions

    Explore conceptually related problems

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

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

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

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

    The numerical value of sec^(2)(tan^(-1)2) + cosec^(2)(cot^(-1)3) =______.

    If sin^(2)theta cos^(2)theta(1+tan^(2)theta)(1+cot^(2)theta)=lambda then find the value of lambda.

    Home
    Profile