F.4 TRIGONOMETRY M2 3

1, Find the maximum value of (sinθ+cosθ)^4

2.(A) show that sinθ+cosθ=(開方2)sin(θ+兀/4)
(b) find the maximum and minimum values of (sinθ+cosθ-1)^2

3. solve tan2x+tanx=0 for 0<=x<=兀

thank you!