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Product of Trigonometric Ratios in Terms of Their Sum

If α + β + ...

Question

If $α + β + γ = π$ , then the value of ${sin}^{2} α + {sin}^{2} β - {sin}^{2} γ$ is equal to

2 sin α

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2 sin α cos β sin γ

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2 sin α sin β cos γ

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2 sin α sin β sin γ

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Solution

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α + β - γ = π

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If $α + β - γ = π$ then $s i n^{2} α + s i n^{2} β - s i n^{2} γ$ is equal to

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