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If sec θ + tan θ = m and sec θ – tan θ = n, prove that mn = 1.

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This is an important question from the
Book- ML Aggarwal
Board- ICSE
Publication- Avichal
Chapter- Trigonometric Identities
Chapter number-18

If sec θ + tan θ = m and sec θ – tan θ = n, prove that mn = 1.

Trigonometric Identities, class 10th, chapter 18th, question no33 , ICSE board, ML aggarwal..

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1 Answer

  1. Given,

     

    sec θ + tan θ = m

     

    sec θ – tan θ = n

     

    Now,

     

    mn = (sec θ + tan θ) (sec θ – tan θ)

     

    = sec²θ – tan²θ = 1

     

    Thus, mn = 1

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