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Solve: (2sinx – cosx) (1 + cosx) = sin^2x.

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Solve: (2sinx – cosx) (1 + cosx) = sin2x.

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∵ (2sinx – cosx) (1 + cosx) = sin2x 

⇒ (2sinx – cosx) (1 + cosx) – sin2x = 0 

⇒ (2sinx – cosx) (1 + cosx) – (1 – cosx) (1 + cosx) = 0 

⇒ (1 + cosx) (2sinx – 1) = 0 

⇒ 1 + cosx = 0 or 2sinx – 1 = 0

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