- #1
hobomoe
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Homework Statement
Prove that
(1-sinA)/(1-secA) - (1+sinA)/(1+secA) = 2cotA(cosA-cosecA)
Homework Equations
tan^2+1=sec^2
The Attempt at a Solution
Times (1-sinA)/(1-secA) - (1+sinA)/(1-secA) = 2cotA(cosA-cosecA) by (1-sec^2 A) to get
(1-sinA)(1+secA) - (1+sinA)(1-secA) = 2cotA(cosA-cosecA)(tan^2 A)
= 2(sinA-secA)
(1-sinA)(1+secA) - (1+sinA)(1-secA) = (1+secA-sinA-sinAsecA)-(1-secA+sinA-sinAsecA)
= 2(secA-sinA)
I made at least one mistake in one of the steps I believe.