Home
Class 12
MATHS
Evaluate the following: "cos"(tan^(-1...

Evaluate the following: `"cos"(tan^(-1)3//4)`

Text Solution

Verified by Experts

Let `tan^(-1) (3/4)=theta`
`tantheta=3/4`
`:.cos(tan^(-1)(3/4))=costheta=4/5`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|45 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

Evaluate each of the following: tan(tan^(-1)3/4) (ii) tan(sin^(-1)5/(13)) (iii) tan(cos^(-1)8/(17))

Evaluate the following : sin^(2) ( tan^(-1) (3/4))

Evaluate the following: cos^(-1)(cos4)

Evaluate the following: (i) tan{2\ tan^(-1)(1/5)-pi/4} (ii) tan(1/2\ sin^(-1)(3/4)

Evaluate the following tan^(-1) { cot (- 1/4)}

Evaluate the following: sin^(-1)(sinpi/4) (ii) cos^(-1)(cos2pi/3) tan^(-1)(tanpi/3)

Evaluate each of the following: tan("cos"^(-1)(8)/17) (ii) cot("cos"^(-1)(3)/5) (iii) cos("tan"^(-1)(24)/7)

Evaluate each of the following: tan^(-1)(tan4) (ii) tan^(-1)(tan12)

Evaluate the following expression: tan("cos"^(-1)1/3)

Evaluate the following:(i) sin(1/2\ cos^(-1)(4/5)) (ii) sin(2\ tan^(-1)(2/3))+cos(tan^(-1)sqrt(3))