Q. 94.4( 20 Votes )

If secθ + tanθ = p, then what is the value of secθ – tanθ ?

Answer :

Given that, sec θ + tan θ = p.

By trigonometric identity, we have


sec2 θ – tan2 θ = 1


So, sec2 θ – tan2 θ = 1


(sec θ – tan θ) (sec θ + tan θ) = 1


sec θ – tan θ = 1/(sec θ + tan θ)


sec θ – tan θ = 1/p [given]


Hence, sec θ – tan θ = 1/p.


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