Question: If y = tan<sup>–1</sup>$\left( \frac{a\sin x + b\cos x}{a\cos x - b\sin x} \right)$, then\(\frac{d...

Question

If y = tan^–1 $\left( \frac{a\sin x + b\cos x}{a\cos x - b\sin x} \right)$ , then $\frac{dy}{dx}$ =

Answer 1

Divide by (a cos x).

Then y = tan^–1 ( tan x) + tan^–1 $\frac{b}{a}$ ⇒ $\frac{dy}{dx}$ = 1

Question: If y = tan<sup>–1</sup>\(\left( \frac{a\sin x + b\cos x}{a\cos x - b\sin x} \right)\), then\(\frac{d...