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Write the value of sinθcos(90°-θ) + cosθsin(90°-θ)

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One of the most important and exam oriented question from trigonometry, topic – trigonometric identities in which we have been asked to find the value of sinθcos(90°-θ) + cosθsin(90°-θ)

RS Aggarwal, Class 10, chapter 13C, question no 7

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  1. sinθ cos(90-θ) + cosθ sin(90-θ)

    = sinθsinθ + cosθcosθ

    = sin²θ + cos²θ

    = 1

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