Question

Is sin theta/ 1-cos theta=cot (theta/2)?

Answer 1

your LHS is equal to RHS cot theta /2

Answer 2

Step-by-step explanation:

All you need are the following formulas:

sin(2A)=2sin(A)cos(A) and cos(2A)=1−2sin2(A)

Now take A=θ/2 to get that

sin(θ)=2sin(θ/2)cos(θ/2) and cos(θ)=1−2sin2(θ/2)

Now plugging this into your equation, we get that

sin(θ)1−cos(θ)=2sin(θ/2)cos(θ/2)2sin2(θ/2)=cos(θ/2)sin(θ/2)=cot(θ/2)

Hope it helps.

Thank you.