Home
Class 12
MATHS
If sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2 ...

If `sin^(-1)(x/5)+cose c^(-1)(5/4)=pi/2` then the value of x is: (1) 1 (2) 3 (3) 4 (4) 5

Text Solution

AI Generated Solution

To solve the equation \( \sin^{-1}\left(\frac{x}{5}\right) + \csc^{-1}\left(\frac{5}{4}\right) = \frac{\pi}{2} \), we can follow these steps: ### Step 1: Rewrite the Equation We start with the equation: \[ \sin^{-1}\left(\frac{x}{5}\right) + \csc^{-1}\left(\frac{5}{4}\right) = \frac{\pi}{2} \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|8 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)(x/5) + cosec^(-1) (5/4) = pi/2 , then the value of x is

If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n the value of sin^(-1)sin2x is (a) 6-2pi (b) 2pi-6 (c) pi-3 (d) 3-pi

If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)s in 14)=pi/2, t h e n the value of sin^(-1)2x is 6-2pi (b) 2pi-6 pi-3 (d) 3-pi

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

The value of cot(cose c^(-1)(5/3)+ tan^(-1)(2/3)) is: (1) 6/(17) (2) 3/(17) (2) 4/(17) (4) 5/(17)

The value of tan^(-1)(1)+cos^(-1)(-1/2)+sin^(-1)(-1/2) is equal to pi/4 b. (5pi)/(12) c. (3pi)/4 d. (13pi)/(12)

Prove that sin^-1[3/5]+sin^-1[4/5]=pi/2

If [(2,3),(5,7)] [(1,-3),(-2,4)]=[(-4,6),(-9,x)], write the value of x

If sin^4x/2+cos^4x/3=1/5 then