What is cot^2(pi/2-x) ?

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

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simplify cot^2(pi/2-x)

simplify

cot^{2} (\frac{π}{2} - x)

tan^{2} (x)

Solution steps

cot^{2} (\frac{π}{2} - x)

Rewrite using trig identities

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Rewrite using trig identities

= tan^{2} (x)

tan (\frac{3 π}{2} + θ)

1 - (cos (x - c))^{2}

cos (2 t + \frac{π}{2})

6 cos (2 x + \frac{π}{2})

1 + cot^{2} (θ)