Q. 3 G4.1( 14 Votes )
Prove the following identities.
Multiplying and dividing by sinθ + cosθ + 1,
⇒ = ×
We know that (a + b) (a – b) = a2 – b2.
We know that 1 – cos2θ = sin2θ and sin2θ + cos2θ = 1.
We know that = secθ and = tanθ.
⇒ = secθ + tanθ
Multiplying and dividing by secθ – tanθ,
⇒ = secθ + tanθ ×
We know that sec2 – tan2θ = 1.
∴ = = RHS
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