Question

How do I prove this equation?
tan(θ/2)=sinθ/1+cosθ

Answer 1

How familiar are you with trig identities? Are you doing IB Maths? If so what level?

Answer 2

math analysis

Answer 3

You know that tan = sin / cos right?

Answer 4

yes

Answer 5

use the identity tan(θ/2)= sqrt{(1-cos(θ))/(1+cos(θ))}

Answer 6

might be worth deriving that first no? Is a formula (information) booklet available in your exams Jennifer? If not, you meed to be able to derive the identities before using them.

Answer 7

then for fraction is square root multiply by 1+cos(θ) /(1+cos(θ), and simplify
so, what's 1-cos(θ) /(1+cos(θ)) * 1+cos(θ)/(1+cos(θ))