What is 1/(tan(pi/2-x)) ?

The solution to 1/(tan(pi/2-x)) is tan(x)

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simplify 1/(tan(pi/2-x))

simplify

\frac{1}{tan ( \frac{π}{2} - x )}

tan (x)

Solution steps

\frac{1}{tan ( \frac{π}{2} - x )}

Rewrite using trig identities

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

Rewrite using trig identities

= tan (x)

cos (- x - π)

2 cos^{2} (3 x - \frac{π}{4}) - 1

cos (πn) - cos (- πn)

\frac{10 m}{sin ( 4 0 ^{\circ} )}

cos (36 0^{\circ} - a)