Home
Class 12
MATHS
If x=cos^(-1)(cos 4) " and " y=sin^(-1)(...

If `x=cos^(-1)(cos 4) " and " y=sin^(-1)(sin3)`, then which of the following holds?
(a)`x-y=1`
(b)`x+y+1=0`
(c)`x+2y=2`
(d)`x+y=3pi-7`

A

x-y=1

B

x+y+1=0

C

x+2y=2

D

`x+y=3pi-7`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=cos(1/2sin^(-1)(sin(x/2))) then which of the following statement holds good? a. y=cos((3pi)/16) b. y=cos((5pi)/16) c. x=4cos^(-1)y d. none of these

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , then

If y=sin^(-1)(3x-4x^(3)), then (dy)/(dx)=

If cos^(- 1)x-cos^(- 1)(y/2)=alpha then 4x^2-4xycosalpha+y^2=

If x +y= 3-cos4theta and x-y=4sin2theta then

If x+y=(4pi)/(3) and sin x = 2 sin y , then

If cot^(-1)x-cot^(-1)y=0andcos^(-1)x+cos^(-1)y=pi/2 then x + y = _______

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

If y=(1-cos^2x)/sin^2x then dy/dx = ….. .

If x=tan^(- 1)(1)+cos^(- 1)(-1/2)+sin^(- 1)(-1/2) and y=cos[1/2cos^-1(1/8)] then x+y=?