Question

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Answer 1

Step-by-step explanation:

proof : LHS = Secθ + tanθ

= 1 + sinθ

cosθ cosθ

= 1 + sinθ

cosθ

= (1 + sinθ) (1 - sinθ)

cosθ (1 - sinθ)

= 1 - sin²θ

cosθ (1 - sinθ)

= cos²θ ( sin²θ + cos²θ = 1

cosθ (1 - sinθ). ∴ cos²θ = 1 - sin²θ)

= cosθ

1 - sinθ

= RHS

∴ secθ + tanθ = cosθ

1 - sinθ