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If sin theta + 2cos theta …

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If sin theta + 2cos theta = 1 prove that 2sin theta - costheta = 2

Posted by Bharath Kumar 7 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gurvinder Kaur 7 years, 5 months ago

(sinθ + 2cosθ)² = 1²
(sinθ + 2cosθ)² + (2sinθ – cosθ)² = 1 + (2sinθ – cosθ)²5sin²θ + 5cos²θ = 1 + (2sinθ – cosθ)²
5 - 1 = (2sinθ – cosθ)²
root4 = 2sinθ – cosθ
or, 2sinθ – cosθ = 2.

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CBSE > Class 10 > Mathematics