Question

prove tan 2alpha = tan (alpha + beta +alpha - beta)​

Answer 1

$\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}⋆$

To prove : $\large tan(2α)=tan(α+ß+α−ß)$

Proof : $\large tan(2α)=tan(2α+ß−ß)$

$\large tan(2α)=tan(2α)$

$\large (2α)−tan(2α)=0$

$\large 0=0$

True , Hence Proven

$\large α∈R$