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Question
Prove that `(sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ)`.
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Solution
L.H.S. = `(sin θ + tan θ)/(cos θ)`
= `(sin θ)/(cos θ) + (tan θ)/(cos θ)`
= tan θ + tan θ sec θ
= tan θ (1 + sec θ)
= R.H.S.
∴ `(sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ)`
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