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

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

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simplify sec^2(pi/2+x)

simplify

sec^{2} (\frac{π}{2} + x)

csc^{2} (x)

Solution steps

sec^{2} (\frac{π}{2} + x)

Rewrite using trig identities

= (- \frac{1}{sin ( x )})^{2}

Simplify

(- \frac{1}{sin ( x )})^{2} : \frac{1}{sin ^{2} ( x )}

= \frac{1}{sin ^{2} ( x )}

Rewrite using trig identities

= csc^{2} (x)

cos (\frac{- 7 n}{6})

\frac{7 - sec ( x )}{tan ( x )} d x

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

36 sec^{2} (x) - 36

\frac{2 x}{sin ( x )} + 1 - π