How can I solve the following trig equation: $$\sin x+2\cos x=2$$
I tried dividing by $\cos$ but it doesn't help much.
I also have the following question: $\sin x+p\cos x=2p$ how much should $p$ be so that this equation has solutions. I know it's related to the first one but I can't figure them out.
In the same chapter I have $\sin^2x+tg^2x=3/2$. I tried solving it with Weierstrass substitution but got to some really complicated equation is there an easier way?