Question

sin^2 67°+ sin ^2 23° plzz solve it...​

Answer 1

★ SOLUTION:-

sin²67°+sin²23°

= sin²(90°-23°)+sin²23°

= cos²23°+sin²23°

= 1

please mark it BRAINLIEST ✌️

Answer 2

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$\implies \sf { \sin }^{2} \: 67\degree + { \sin }^{2} \: 23\degree = 1$

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$\implies \sf { \sin }^{2} \: 67\degree + { \sin }^{2} \: 23\degree \\ \\ \implies \sf { \sin }^{2} \: (90 - 23)\degree + { \sin }^{2} \: 23\degree \\ \\ \implies \sf { \cos }^{2} \: 23\degree + { \sin}^{2} \: 23\degree \\ \\ \implies \sf 1$

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$\sf\star \: \sin \: (90 - \theta) = \cos \theta \\ \\ \sf \star \: \: { \sin }^{2} \theta + { \cos }^{2} \theta = 1$