Question

If α and β are two different roots of the equation
$\sf{a\:cos\:\theta\:+\:b\:sin\:\theta\:=\:c}$, prove that
(i) $\sf{tan\left(\alpha+\beta\right)\:=\:\dfrac{2ab}{a^2-b^2}}$

(ii) $\sf{cos\left(\alpha+\beta\right)\:=\-\dfrac{a^2-b^2}{a^2+b^2}}$​

Answer 1

Hello, find the hereby attached solution to your problem

I've first done (ii) and then (i) for better clarity of the steps involved in the problem.

Answer 2

Answer:

hope it is helpful to you..