Question

(sin3t+cos3t)/(cos3t-sin3t)=? Please help

Answer 1

Hello,

Let's assume 3t=a.

$\dfrac{sin(a)+cos(a)}{cos(a)-sin(a)} = \dfrac{(cos(a)+sin(a))^2}{cos^2(a)-sin^2(a)}\\\\ = \dfrac{1+2sin(a)cos(a)}{cos(2a)}= \dfrac{1+sin(2a)}{cos(2a)} with\ a=3t$