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Relation between Trigonometric Ratios

If cos A+cos2...

Question

$If c o s A + c o s^{2} A = 1, prove that s i n^{12} θ + 3 s i n^{10} θ + 3 s i n^{8} θ + s i n^{6} θ + 2 s i n^{4} θ + 2 s i n^{2} θ - 2 = 1$

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Solution

Given:

We have to prove

From the given equation, we have

Therefore, we have

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