1.) Find the solution set of

2sin squared θ-1= 0 if 180 degrees is less than or equal to θ is less than or equal to 360 degrees

2.) prove:

2cotθ/cot squared θ -1 = sin2 θ sec2 θ

2 answers

2 sin^2 Ø = 1
sin^2 Ø = 1/2
sin Ø = 1/√2
if 180 ≤ Ø ≤ 360°
then Ø = 225° or 315°

2.

Did you mean:
2cotØ/(cot^2 Ø - 1) = sin^2 Ø sec^2 Ø ?
If so, then it is not and identity, (I tried it with Ø=20°)
did you mean:
2cotØ/cot^2 Ø - 1 = sin^2 Ø sec^2 Ø ?
If so, then it is not and identity, (I tried it with Ø=20°)

did you mean:
2cotØ/cot^2 Ø - 1 = sin 2Ø sec 2Ø ?
If so, then it is not and identity, (I tried it with Ø=20°)

etc.
4^(x 1) - 6^x - 2.9^(x 1) = 0