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12-24.

Jeremy uses the button on his calculator to solve a trigonometric equation and gets the solution . He knows that there must be more than one solution. What are the rest of the solutions to Jeremy’s equation? Use a unit circle to explain how you determined all of the solutions. Homework Help ✎

Using a unit circle:

Draw a Unit circle and estimate degrees.

Since sin is height, draw in the height to the -axis.

Find and draw the same height any other place it may occur on the unit circle.

Calculate the new angles.

, so and where is any integer.

step 1 unit circle

step 2 unit circle

step 3 unit circle

step 4 unit circle

answer unit circle

step 1 graph

step 2 graph

step 3 graph

step 4 graph

step 5 graph

Using a graph:

Draw the sine curve.

Draw

Find the -values where the two graphs intersect.

Label the solution .

Use Symmetry to find other solutions.