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Question
Prove that: `(sin A - tan A)/(sin A + tan A) = (1 - sec A)/(1 + sec A)`
Theorem
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Solution
L.H.S. = `(sin A/sin A - tan A/sin A)/(sin A/sin A + tan A/sin A)`
= `(1 - sin A/(cos A sin A))/(1 + sin A/(cos A sin A))`
= `(1 - 1/cos A)/(1 + 1/(cos A)`
= `(1 - sec A)/(1 + sec A)` = R.H.S.
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2025-2026 (March) Basic - 430/1/2
