cos theta upon 1 minus sin theta + cos theta upon 1 + sin theta is equal to 4
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Answer:
θ = 60°
Step-by-step explanation:
Given :
(cosθ)/(1 - cosθ) + (cosθ/1 + sinθ) = 4
⇒ cosθ(1 + sinθ) + cosθ(1 - sinθ)/ 1 - sin²θ = 4
⇒ (cosθ + cosθsinθ + cosθ - cosθsinθ)/1 - sin²θ = 4
⇒ (2 cosθ)/cos²θ = 4
⇒ (2/cosθ) = 4
⇒ cosθ = 1/2
⇒ cosθ = cos 60°
⇒ θ = 60°
Hope it helps!
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