Question

2. If cos A + cos²A = 1, then the value of sin A + sinA is

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Answer 1

Answer:

sin2A+sin4A=1−cos2A+(1−cos2A)2

=cosA+cos2A, as given cosA+cos2A=1

=1

Answer 2

cos A + cos²A = 1

cos A = 1 - cos² A

cos A = Sin²A

Squaring on both sides

cos²A = sin4A

1 - Sin² A = sin4A

sin²A + sin4A = 1

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