Using Trig Identities to SimplifyDate: 7/26/96 at 22:5:58 From: Anonymous Subject: Using Trig. Identities to Simplify I have tried to solve this problem using many identities, but it doesn't get me anywhere. The problem is ((sin @ - 1)/cos @) - (cos @/(sin @ -1)) I have been trying to get the equation all in sines, but I haven't had much luck. I tried getting a common denominator of cos @ sin @ -cos @ and used a lot of identities, and I ended up with what I started with. The problem says to subtract and simplify. I know what the answer is, 2 tan @, but I can't get it. HELP! Date: 7/27/96 at 11:33:41 From: Doctor Anthony Subject: Re: Using Trig. Identities to Simplify Putting the two expressions on a common denominator we have: (sin x - 1)^2 - cos^2 x = ------------------------ cos x(sin x - 1) sin^2 x - 2sin x + 1 - cos^2 x = ------------------------------- cos x(sin x - 1) 2sin^2 x - 2sin x = ----------------- cos x(sin x - 1) 2sin x(sin x - 1) = ----------------- cos x(sin x - 1) = 2tan x -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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