Question

Prove the identity using half angle formula:
2cos^2 θ/2 secθ = secθ + 1

Answer 1

think\[\sec \theta \] as \[1/\cos \theta \], and try to simplify the equation first, (make one side equal to zero)

Answer 2

I was working on the left hand side

Answer 3

the idea was to use the half angle formula.
at some point I ended up with
(1 + cos) secθ = secθ + 1
and then I got stuck

Answer 4

divide both sides by secθ, and you will get 1+cos on left, and 1/secθ which is equal to 1/1/cos = cos

Answer 5

**on the right

Answer 6

thank you