Home
Class 12
MATHS
If (sin^4theta)/x+(cos^4theta)/y=1/(x+y)...

If `(sin^4theta)/x+(cos^4theta)/y=1/(x+y)`, show that ,`(sin^(2m+2)theta)/(x^m)+(cos^(2m+2)theta)/(y^m)=1/((x+y)^m)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If (sin theta)/(x)=(cos theta)/(y) , then show that sin theta-cos theta=(x-y)/( sqrt(x^(2)+y^(2))) .

If (sin theta) (x) = (cos theta)/(y) , then prove that sin theta - cos theta = (x - y)/(sqrtx^2 + y^2) .

If costheta=(x)/(sqrt(x^(2)+y^(2))) , then show that x sin theta=y cos theta.

If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta .

If (cos^(4)theta)/(x)+(sin^(4)theta)/(y)=(1)/(x+y), (theta " is constan t") then (dy)/(dx)=

If ("cos"^4 theta)/(x) + ("sin"^4 theta)/(y) = 1/(x + y) ( theta is constant) then (dy)/(dx) =

If (m+2) sin theta+(2m-1) cos theta=(2m+1) , then show that tan theta= =(4)/(3)or (2m)/(m^(2)-1) .

If m= sin ^(2) theta + cos ^(4)theta, then-

If cos^(-1)x+cos^(-1)y= theta , show that x^2-2xycos theta+y^2 = sin^2 theta .

If sin theta+cos theta=m then prove that sin^(6)theta+cos^(6)theta=(4-3(m^(2)-1)^(2))/(4) where m^(2)<=2