Use the unit circle shown here to solve the trigonometric equation. Solve over $[0^{\circ}, 360^{\circ})$
$\sin θ = - 1$
The solution set is ${◻^{\circ}}$ .
(Do not include the degree symbol in your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

Answer

Expert–verified

Hide Steps

Answer

$270$ is the final answer.

Steps

Step 1 ：The sine function gives the y-coordinate of the point on the unit circle that is an angle of $θ$ degrees counterclockwise from the positive x-axis.

Step 2 ：The sine function is -1 at $θ = 270^{\circ}$ .

Step 3 ：So, the solution to the equation $\sin θ = - 1$ is $θ = 270^{\circ}$ .

Step 4 ： $270$ is the final answer.

Use the unit circle shown here to solve the trigonometric equation. Solve over [0∘,360∘)sin⁡θ=−1The 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 separate answers as needed.)

Answer

Popular Problems