if sin x =cos²x ,then write the value of cos²x(1+ cos²x)
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Answer:
sinx = cos²
sinx = 1 - sin²x
sin²x + sinx = 1--------> (i)
cos²x(1 + cos²x) = sinx(1 + sinx)
[substituting from the value given in the question]
= sinx + sin²x
From (i), = 1
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