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Mathematics

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

Trigonometric Identities

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Answer

mn = (sec θ + tan θ)(sec θ - tan θ)

mn = (sec² θ - tan² θ)

By, trigonometric identities sec² θ - tan² θ = 1.

∴ mn = 1.

Hence, proved that mn = 1.

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