What is tan^2(pi/2+x) ?

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

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simplify tan^2(pi/2+x)

simplify

tan^{2} (\frac{π}{2} + x)

cot^{2} (x)

Solution steps

tan^{2} (\frac{π}{2} + x)

Rewrite using trig identities

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

Simplify

(- \frac{cos ( x )}{sin ( x )})^{2} : \frac{cos ^{2} ( x )}{sin ^{2} ( x )}

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

Rewrite using trig identities

= cot^{2} (x)

cos (\frac{π}{2} - \frac{π t}{2})

cos (arcsin (\frac{x}{9}))

cos (2 (- x))

cos (2 x - \frac{5 π}{6})

4 sin (\frac{π}{6} + x) - cos (x)