Prove that : Sin theta /1-cos theta + cos theta/1-tan theta = cos theta +sin theta
Aditishukla , 7 Years ago
Grade 10
Trigonometry> Prove that : Sin theta /1-cos theta + cos...
1 Answers
Arun
G = (cos θ/(1 - tan θ)) + (sin θ/(1 - cot θ))
G = (cos θ/(1 - sin θ/cos θ)) + (sin θ/(1 - cos θ/sin θ))
G = (cos² θ/(cos θ - sin θ)) + (sin² θ/(sin θ - cos θ))
G = (cos² θ/(cos θ - sin θ)) - (sin² θ/(cos θ - sin θ))
G = (cos θ - sin θ)(cos θ + sin θ) /(cos θ - sin θ)
G = cos θ + sin θ
G = (cos θ/(1 - sin θ/cos θ)) + (sin θ/(1 - cos θ/sin θ))
G = (cos² θ/(cos θ - sin θ)) + (sin² θ/(sin θ - cos θ))
G = (cos² θ/(cos θ - sin θ)) - (sin² θ/(cos θ - sin θ))
G = (cos θ - sin θ)(cos θ + sin θ) /(cos θ - sin θ)
G = cos θ + sin θ
Regards
Arun (askIITians forum expert)
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