What is sec^3(pi/2-x) ?

The solution to sec^3(pi/2-x) is csc^3(x)

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simplify sec^3(pi/2-x)

simplify

sec^{3} (\frac{π}{2} - x)

csc^{3} (x)

Solution steps

sec^{3} (\frac{π}{2} - x)

Rewrite using trig identities

= (\frac{1}{sin ( x )})^{3}

Simplify

(\frac{1}{sin ( x )})^{3} : \frac{1}{sin ^{3} ( x )}

= \frac{1}{sin ^{3} ( x )}

Rewrite using trig identities

= csc^{3} (x)

csc (arctan (q))

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\frac{1}{cos ( x )} d x

sin (\frac{π}{8} + h)