Trigonometry
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blackpinf4ever:
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Answer:
(secA − tanA) / (secA + tanA)
= (1/cosA − sinA/cosA) / (1/cosA + sinA/cosA)
= (1 − sinA) / (1 + sinA)
= {(1 − sinA)(1 − sinA)} / {(1 + sinA)(1 − sinA)}
= (1 − 2sinA + sin²A) / (1 − sin²A)
= (cos²A + sin²A − 2sinA + sin²A) / cos²A
= (cos²A − 2sinA + 2sin²A) / cos²A
= cos²A/cos²A − 2 (1/cosA)( sinA/cosA) + 2(sin²A/cos²A )
= 1 − 2secAtanA + 2tan²A
= RHS
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