Question

prove that tan A/1 +sec A - tan A / 1 - sec A = 2 cosec A

Answer 1

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soltion:-

tanA / secA - 1 + tanA / secA + 1

 sinA/cosA / 1/ cosA - 1 + sinA/cosA / 1/cosA + 1

on simplifying

sinA / 1 - cosA + sinA / 1 + cosA

sinA + sinA.cosA + sinA - sinA.cosA / 1 - cos2A 

2sinA / sin2A

2 / sinA

2cosecA