Question

use the unit circle shown here to solve the trigonometric equation. solve over 0°,360°).
sinθ = -1
the solution set is {□°}.
(do not include the degree symbol in your answer. use integers or fractions for any numbers in the expression. use a comma to

Explanation:

Step1: Recall the unit - circle definition of sine

On the unit circle, for a point \((x,y)\) corresponding to an angle \(\theta\), \(\sin\theta=y\).

Step2: Find the angle where \(y = - 1\)

Looking at the unit circle, when \(y=-1\), the angle \(\theta = 270\) (since at \(\theta = 270^{\circ}\), the coordinates on the unit circle are \((0,-1)\) and \(\sin\theta=-1\)).

Answer:

\(270\)