Answer
1) Given equation is quadratic.
2) Two trigonometric functions i.e. $\sin x$ and $\cos x$ are present.
3) Using Pythagorean identity equation may be converted to a simple quadratic in single trigonometric function and solved easily.
Work Step by Step
Given equation is-
$\cos^{2} x $ = $ \sin^{2} x$ + $1$
Steps to be taken-
1) Given equation is quadratic.
2) Two trigonometric functions i.e. $\sin x$ and $\cos x$ are present.
3) Using Pythagorean identity equation may be converted to a simple quadratic in single trigonometric function and solved easily.