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Prove that sin 53° cos 37° + cos 53° sin 37° = 1.

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Prove that sin 53° cos 37° + cos 53° sin 37° = 1.

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LHS = sin53° cos37° + cos53° sin37°

= sin53° cos(90° – 53°) + cos53° sin (90° – 53°)

= sin53° x sin53° + cos53° x cos53°

= sin2 53° + cos2 53°

= 1

= RHS

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0 votes
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sin^2 37° + sin^2 53° = (A) 0 (B) 1 (C) -1 (D) 2
asked Mar 15, 2023 in Mathematics by HemangRathore (49.0k points)

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