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Rajan@2021
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Prove that: sinθ cos(90° − θ) + cosθ sin(90°- θ) = 1.

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This question is from trigonometry topic trigonometric ratios on complementary angles in which we have been asked to prove that sinθ cos(90° − θ) + cosθ sin(90°- θ) = 1

RS Aggarwal, Class 10, chapter 12, question no 5(i).

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1 Answer

  1. sinθ.cos(90°θ)+cosθsin(90°θ)

    =sinθ.sinθ+cosθcosθ

    =sin²θ+cos²θ

    =1

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