If cos A-cos 2 A-1- then sin 2 A-sin 4 A-a -1b 0c 1d None of these

Given: So, nbsp; nbsp; Hence, the correct option is (c). ...

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Implicit Differentiation

If cos A+cos ...

Question

If cos A + cos² A = 1, then sin² A + sin⁴ A =

(a) −1
(b) 0
(c) 1
(d) None of these

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Solution

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\frac{1}{2}

cos A + {cos}^{2} A = 1

{sin}^{2} A + {sin}^{4} A

cos A + {cos}^{2} A = 1

{sin}^{2} A + {sin}^{4} A = 1

\frac{sin A + sin 2 A + sin 4 A + sin 5 A}{cos A + cos 2 A + cos 4 A + cos 5 A} =

cos A + {cos}^{2} A = 1,

{sin}^{2} A + {sin}^{4} A = 1.

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