trigonometric identities

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trigonometric identities

Postby petersen » Fri Jan 04, 2013 11:27 pm

show that [sqrt(1-cot^2x)*sqrt(tan^2x)]/(cos x)=tan2x
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Re: trigonometric identities

Postby Guest » Sat Jan 05, 2013 8:12 am

if the problem is

[sqrt(1 - {cot(x) * cot(x)}) * sqrt(1 - {tan(x) * tan(x)})] / cos(x) = tan(2x)

and the angles are real numbers,

then it is NOT an identity. in fact, it is NEVER true, which would make it an ANTI-IDENTITY, i suppose.

nice try though ;)

(for those interested - plug in a few angles to see what happens)
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Re: trigonometric identities

Postby petersen » Sat Jan 05, 2013 3:34 pm

show that [sqrt(1-cot^2x)*sqrt(sec^2x-1)]/cos x= tan 2x
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Re: trigonometric identities

Postby petersen » Sat Jan 05, 2013 3:53 pm

sorry the actual question is [sqrt(1-cot^2x)*sqrt(sec^2x-1)]/cos x= tan^2x
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