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..
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