Question

(sin theta)/(1 + cos theta) = --------------​

Answer 1

The Answer is as follows:

Step-by-step explanation:

• To find : sinΦ/ 1+cosΦ

• rationalize sinΦ by (1- cosΦ)

• sinΦ/ 1+cosΦ = sinΦ/ 1+cosΦ × 1-cosΦ/ 1-cosΦ
• sinΦ(1-cosΦ)/ (1-cosΦ)(1+cosΦ)
• sinΦ(1-cosΦ)/(1+cos²Φ)
• ∵ (a-b)(a+b) = a² - b²
• ∵ sin²Φ cos²Φ = 1
• ⇒sin²Φ = 1- cos²Φ
• sinΦ/ 1+ cosΦ = sinΦ (1-cosΦ)/ (1- cos²Φ)
• sinΦ (1-cosΦ)/ sin²Φ = 1- cosΦ/ sinΦ