Q23 of 104 Page 204

secθ + tanθ = p, then obtain the values of secθ, tanθ and sinθ in terms of p.

secθ + tanθ [1]

sec2θ –tan2θ = 1


⇒ (secθ – tanθ)( (secθ + tanθ)) = 1


⇒ (secθ – tanθ) p = 1


⇒ (secθ – tanθ) = [2]


Adding and subtracting [1] and [2]


and


⇒ and


⇒ and





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