What is tan(pi/2-2x) ?

The solution to tan(pi/2-2x) is cot(2x)

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simplify tan(pi/2-2x)

simplify

tan (\frac{π}{2} - 2 x)

cot (2 x)

Solution steps

tan (\frac{π}{2} - 2 x)

Rewrite using trig identities

= \frac{cos ( 2 x )}{sin ( 2 x )}

Rewrite using trig identities

= cot (2 x)

cos^{2} (5 x + \frac{π}{3})

\frac{1}{tan ( \frac{π}{2} - x )}

cos (- x - π)

2 cos^{2} (3 x - \frac{π}{4}) - 1

cos (πn) - cos (- πn)