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anonymous
 5 years ago
One complicated trig identity, Someone help!
(tan x) / (sin x cos x) = (sin^2 x + (sin x)(cos x))/ (cos x  2 cos ^3 x)
anonymous
 5 years ago
One complicated trig identity, Someone help! (tan x) / (sin x cos x) = (sin^2 x + (sin x)(cos x))/ (cos x  2 cos ^3 x)

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0LHS: sin  cos  sin  cos  1 flip the bottom over and multiply to get...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0sin  = RHS cos(sincos) RHS: (sin^2 x + (sin x)(cos x))/ (cos x  2 cos ^3 x) sin(sin + cos)  cos(1  2cos^2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.01 sin + cos tan  = tan  (sin  cos) 1  2cos^2 divide both sides by tan:......

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0multiply both side by (1) to get: 1 sin + cos  =  sincos 2cos^2 1

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0cross multiply....im sure :) 2cos^2 1 = 2(sin+cos)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02 cos^2 sin^2 cos^2 = 2(sin + cos) cos ^2  sin^2 = 2(sin+cos)....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0sin+cos(sin  cos) = sin^2  cos^2 NOT (2)sin+cos

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0go back to the cross multiply...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you for showing me, but unfortunately I'm required to work on one side

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if you can work it out to meet in the middle, then you simply reverse it to get back to the one side.... How you solve it really doesnt matter a hilll of beans :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0but let me show you that it DOES work out :) I gots: (2cos^2 1) = sin^2  cos^2 (2cos^2 (sin^2 + cos^2)) = sin^2  cos^2 (2cos^2 sin^2 cos^2) = sin^2  cos^2 (cos^2  sin^2) = sin^2  cos^2 sin^2  cos^2 = sin^2  cos^2 (proofed)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm kinda confused now...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0who requires you ta work only one side?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0my professor requires us to work one side to equal other side

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0since both sides are equally "messed up"; it would be best to "simplify" both sides till they are equal. I you can only work with one die, you are pretty much tieing your hands behind your back.....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0my keyboard hates me :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, its fine lol.. i appreciate the help, it would be easier to work both sides.. wish i could
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