What is α/(cot(-90-α)) ?

The solution to α/(cot(-90-α)) is αcot(α)

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simplify α/(cot(-90-α))

simplify

\frac{α}{cot ( - 9 0 ^{\circ} - α )}

α cot (α)

Solution steps

\frac{α}{cot ( - 9 0 ^{\circ} - α )}

Use the negative angle identity:

cot (- x) = - cot (x)

= \frac{α}{- cot ( 9 0 ^{\circ} + α )}

Rewrite using trig identities

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

Simplify

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

= \frac{α cos ( α )}{sin ( α )}

Rewrite using trig identities

= cot (α) α

sin (arctan (- \frac{1}{g}))

- 13 sin (2 π + x)

tan (- 1 (\frac{y}{x}))

sin (x - \frac{3 π}{4})

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