Thread: Prove that
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Old July 4th, 2009, 10:05 AM
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Quote:
Originally Posted by Sanjana Das View Post
[1+cosA+sinA] = 1+sinA
[1+cosA-sinA] ... cosA

plzzzzz help meeee .......with this question....

\frac{1+cosA+sinA}{1+cosA-sinA}

=\frac{2cos^2\frac{A}{2}+2cos\frac{A}{2}sin\frac{A}{2}}{2cos^2\frac{A}{2}-2cos\frac{A}{2}sin\frac{A}{2}}

=\frac{cos\frac{A}{2}+sin\frac{A}{2}}{cos\frac{A}{2}-sin\frac{A}{2}}

=\frac{cos\frac{A}{2}+sin\frac{A}{2}}{cos\frac{A}{2}-sin\frac{A}{2}}.\frac{cos\frac{A}{2}+sin\frac{A}{2}}{cos\frac{A}{2}+sin\frac{A}{2}}

=\frac{1+sinA}{cosA}
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