Find the quadrants of the coordinate plane such that

MATHEMATICS · Subjective · ISC · Mathematics · Algebra · Algebra

Problem

Find the quadrants of the coordinate plane such that, for each point

(x,y)

in these quadrants, where

x\ne0

and

y\ne0

, the equation

\dfrac{\sin^4\theta}{x}+\dfrac{\cos^4\theta}{y}=\dfrac{1}{x+y}

is solvable for

\theta