cosA/1+sinA + 1+sinA/cosA=2secA
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Step-by-step explanation:
cosA/(1 + sinA) + (1 + sinA)/cosA
Divide and multiply the term cosA/(1 + sinA) with 1 - sinA:
cosA(1-sinA)/(1+sinA)(1-sinA) + (1+sinA)/cosA
cosA(1-sinA)/(1 - sin²A) + (1+sinA)/cosA
cosA(1-sinA)/cos²A + (1+sinA)/cosA
(1-sinA)/cosA + (1+sinA)/cosA
(1-sinA + 1+sinA)/cosA
(1+1)/cosA
2/cosA = 2*1/cosA
2secA Proved
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