Question

1 minus cos theta divided by 1 plus cis theta

Answer 1

Answer:

Step-by-step explanation:

1 - Cosθ/1 + Cosθ

=> 1  - Cos2(θ/2) / 1 + Cos2(θ/2)

We know that Cos2θ = 1 - 2Sin²θ = 2Cos²θ - 1

=> 1 - (2Cos²θ/2 -1)/ 1 + (2Cos²θ/2 -1)

= 1 + 1 - 2Cos²θ/2 / 2Cos²θ/2

= 2 ( 1 - Cos²θ/2)/2Cos²θ/2

= Sin²θ/2/Cos²θ/2

= Tan²θ/2.