Find the value of sin2-10-sin24-10-sin26-10-sin29-10

sin^2π10+sin^24π10+sin^26π10+sin^29π10 =sin^218^∘+sin^272^∘+sin^2108^∘+sin^2162^∘ =sin^218^∘+sin^2(90^∘ 18^∘)+sin^2(90^∘+18^∘)+sin^2(180^∘ 18^∘) ...

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Product of Trigonometric Ratios in Terms of Their Sum

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Question

Find the value of ${sin}^{2} \frac{π}{10} + {sin}^{2} \frac{4 π}{10} + {sin}^{2} \frac{6 π}{10} + {sin}^{2} \frac{9 π}{10}$

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