Home
Class 11
MATHS
If sin A+sin 2A=x and cos A+cos 2A=y, th...

If sin A+sin 2A=x and cos A+cos 2A=y, then `(x^2+y^2)(x^2+y^2-3)=`

A

2y

B

y

C

3y

D

4y

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=A sin 5x, then (d^2y)/(dx^2) =

If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y) ............. A) (-8)/(3) B) 8/3 C) 4/3 D) -3/4

If y= 2 sin x+3 cosx , then y + (d^(2)y)/(dx^(2)) is

If x= a sin t - b cos t, y= a cos t + b sin t , show that (d^2y)/(dx^2) = -(x^2 + y^2)/(y^3)

If y=(cos x - sin x)/(cos x + sinx) , then ((d^(2)y)/(dx^(2)))/((dy)/(dx))

If x= a(cos theta + sin theta ), y= a(sin theta + cos theta ), then [( d^2 y)/(d x^2 ) ] at theta = pi /4 ............. A) 0 B) 1 C) -1 D) 1/sqrt 2

If 2y cos theta =x sin theta and 2x sec theta -y cosec theta =3, then x ^(2) +4y^(2)= ............... A) 4 B) -4 C) -2 D) 2

If x= sin t and y= sin^(3)t , then (d^(2)y)/(dx^(2)) at t=pi/2 is

If y= x + tan x , show that cos^2 x (d^2 y)/(dx^2) -2y + 2x =0