Question

Evaluate
+ Sº with respect
sinº x - cosø x
- dx
- 2 sin? x cos? x​

Answer 1

Given equation :  $y=sinx- cosx-2sinxcosx$

$we have to differentiate w.r.t to x$

$\frac{dx}{dy} = cosx-(-sinx)-2\{cosxcosx+sinx(-sinx)\}$

$\frac{dx}{dy} = cosx+sinx-2(cos^2x-sin^2x)$

Hence the final answer is $\frac{dx}{dy} = cosx+sinx-cos2x$