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Rajan@2021
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If (secθ+tanθ) = m and (secθ-tanθ) = n, show that mn = 1

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This question is taken from RS Aggarwal, chapter – trigonometry, topic – trigonometric identities in which we have given that (secθ+tanθ) = m and (secθ-tanθ) = n

we have to prove that mn = 1 by using trigonometric formulas

Book – RS Aggarwal, Class 10, chapter 13B, question no 4

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1 Answer

  1. (secθ+tanθ)=m....(1) and
    (secθtanθ)=n....(2)
    Multiply (1) and (2), we have
    (secθ+tanθ)(secθtanθ)=mn
    (sec²θtan²θ)=mn
    1=mn
    Or mn=1
    Hence proved

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