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fefiisbak · Apr 29, 2013, 11:04 PM

Verify the following identities

cot x - tan x = 4 cos^x - 2 / (sin 2x)

Alty · Apr 29, 2013, 11:17 PM

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ebaines · Apr 30, 2013, 06:59 AM

Please take care in writing expressions to properly use parentheses. What you wrote is this:

$cotx -tanx = 4 \cos x - \frac 2 {\sin 2x}$

whereas what I think you mean is this:

$cotx - tanx = \frac {4 \cos^2 x- 2}{\sin 2x}$

As usual. Start by converting the cotx and tanx functions to their sine and cosine equivalents, then simplify. Look for opportunities to employ other well known identities such as $\cos(2x) = \cos^2x - \sin^2x = \2 \cos^2x - 1$

fefiisbak · Apr 30, 2013, 10:48 AM

Hey ebaines,

Thanks!