Master Proofs with Ease: Solving Tricky Trigonometric Equations

[yvette25]

Homework Statement

prove:
sin3x = sinx (3-4sin^2x)

tanx+sinx/2tanx = cos^2(x/2)

cot2x = (cot^2 x-1)/(2cotx)

 

[rock.freak667]

...where is your attempt?
But anyhow...for the first one...rewrite sin3x as sin(2x+x)

and well for the second and third ones..try simplifying it into sin and cos only , for the last one...remember that cot(x)=1/tan(x)