If k=cos^(4)[tan^(-1){sin(cot^(-1)5)}], ...

If `k=cos^(4)[tan^(-1){sin(cot^(-1)5)}]`, then the value of `27sqrt(k)-17` is :

A

8

B

9

C

10

D

None of these

Verified by Experts

The correct Answer is:

B

INVERSE TRIGONOMETRY
VMC MODULES ENGLISH|Exercise LEVEL-2|58 Videos
INVERSE TRIGONOMETRY
VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
INTEGRAL CALCULUS-1
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos
JEE MAIN - 5
VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|5 Videos

Similar Questions

Explore conceptually related problems

If tan(cos^(-1) x) = sin (cot^(-1).(1)/(2)) , then find the value of x

If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then the value of k is (a)1 (b) -1/(sqrt(2)) (c) 1/(sqrt(2)) (d) non of these

Find the value of, cos [tan^(-1) {sin (cot^(-1)x)}]

Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , then the value of sin u is

If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a. 1/sqrt(5) b. 2/sqrt(5) c. 3/sqrt(5) d. sqrt(5)/3

If int( 2^(x))/( sqrt( 1- 4^(x))) dx = k sin^(-1) ( 2^(x)) + C , then the value of k is

Value of tan^(- 1){sin(cos^(- 1)sqrt(2/3))} is

The value of cot [sin^(-1){cos(tan^(-1)1)}] is

If cos 18^(@) - sin 18^(@) = k sin 27^(@) , then k =