Question

If sin^2 10°+sin^2 20°+sin^2 30°+ sin^2 60°+sin^2 60°+sin^2 80°

Answer 1

Answer:

$sin^2 10°+sin^2 20°+sin^2 30°+ sin^2 60°+sin^2 70°+sin^2 80° \\ \\ = 3$

Step-by-step explanation:

$formula \\ \\ {cos}^{2} \alpha + {sin }^{2} \alpha = 1 \\ \\ \sin(90 - \alpha ) = \cos( \alpha )$

$sin^2 10°+sin^2 20°+sin^2 30°+ cos^2 30°+cos^2 20°+cos^2 10° \\ \\ = 3$

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