What is 1/(tan(\frac{7pi){2}+x)} ?

The solution to 1/(tan(\frac{7pi){2}+x)} is -tan(x)

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simplify 1/(tan(\frac{7pi){2}+x)}

simplify

\frac{1}{tan ( \frac{7 π}{2} + x )}

- tan (x)

Solution steps

\frac{1}{tan ( \frac{7 π}{2} + x )}

Rewrite using trig identities

= \frac{1}{- \frac{c o s ( x )}{s i n ( x )}}

Simplify

\frac{1}{- \frac{c o s ( x )}{s i n ( x )}} : - \frac{sin ( x )}{cos ( x )}

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

Rewrite using trig identities

= - tan (x)

sin (arctan (2 t))

8 t^{2} cos (3 t + 3 0^{\circ})

(cos (2 t - \frac{3 π}{4}))^{2}

sin (24 π + x)

csc (π + t)

What is 1/(tan(\frac{7pi){2}+x)} ?
The solution to 1/(tan(\frac{7pi){2}+x)} is -tan(x)