What is cot(-90-θ) ?

The solution to cot(-90-θ) is tan(θ)

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simplify cot(-90-θ)

simplify

cot (- 9 0^{\circ} - θ)

tan (θ)

Solution steps

cot (- 9 0^{\circ} - θ)

Use the negative angle identity:

cot (- x) = - cot (x)

= - cot (9 0^{\circ} + θ)

Rewrite using trig identities

= - (- \frac{sin ( θ )}{cos ( θ )})

Apply rule

- (- a) = a

= \frac{sin ( θ )}{cos ( θ )}

Rewrite using trig identities

= tan (θ)

tan (27 0^{\circ} + 2 A)

sin (500 t + π)

sin (nπ - (\frac{π}{2}))

sin (- arctan (x))

tan (a - 9 0^{\circ}) sin (- a)