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}

Apply exponent rule:

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

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

Rewrite using trig identities

= cot^{2} (x)

3 sin (\frac{x}{4} - 2 π) + 4

cos (9 0^{\circ} - α)

sin (- \frac{nπ}{2})

2 sin (2 π (\frac{1}{4}) + 5 π x)

sin (θ - 36 0^{\circ})