Home
Class 12
MATHS
Suppose 3 sin^(-1) ( log (2) x) + cos^(-...

Suppose `3 sin^(-1) ( log _(2) x) + cos^(-1) ( log _(2) y) =pi //2` and `sin^(-1) ( log _(2) x ) + 2 cos^(-1) ( log_(2) y) = 11 pi //6`. then the value x^(-2) + y^(-2)` equals .

A

6

B

7

C

5

D

`7/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

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

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

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

If tan ^(-1) x + tan ^(-1) .sqrt( 1 - y^(2))/y = pi/3 " and sin^(-1) y - cos^(-1) ( x/(sqrt( 1 + x^(2)))) = (pi)/6 , then ( 5 sin^(-1) x)/( sin^(-1) y) is

If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

Let x in (0, pi/2) and log_(24 sin x) (24 cos x)=3/2 , then find the value of cosec^(2)x .

If cos^(-1) x + cos^(-1) y + cos^(-1) z = pi , prove that x^(2) + y^(2) + z^(2) + 2xyz = 1

If sin^-1 x + sin^-1y = pi/2 , then value of cos^-1 x + cos^-1 y

Number of solutions of the equation log_(10) ( sqrt(5 cos^(-1) x -1 )) + 1/2 log_(10) ( 2 cos^(-1) x + 3) + log_(10)sqrt5 = 1 is

If y = log x - x^2 , then value of (d^2y)/(dx^2) is

If log x = (-1)/3 , " and " Fi n d log ( sin ( arc cos sqrt(1 - x^(2))))

For x, y, z, t in R, sin^(-1) x + cos^(-1) y + sec^(-1) z ge t^(2) - sqrt(2pi t) + 3pi The value of x + y + z is equal to

If f (x) = cos (log_e x) , find the value of : f(x) f(y)-1/2[f(x/y)+f(xy)] .