concept. example 1 draw an angle in standard position a. draw an angle with a measure of 210° in...
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![Page 1: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/1.jpg)
![Page 2: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/2.jpg)
Draw an Angle in Standard Position
A. Draw an angle with a measure of 210° in standard position.
210° = 180° + 30°
Draw the terminal side of the angle 30° counterclockwise past the negative x-axis.
Answer:
![Page 3: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/3.jpg)
Draw an Angle in Standard Position
B. Draw an angle with a measure of –45° in standard position.
Answer:
The angle is negative. Draw the terminal side 45° clockwise from the positive x-axis.
![Page 4: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/4.jpg)
Find Coterminal Angles
A. Find an angle with a positive measure and an angle with a negative measure that are coterminal with 210°.
positive angle: 210° + 360° = 570°
negative angle: 210° – 360° = –150°
Answer: 570° and –150°
![Page 5: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/5.jpg)
Find Coterminal Angles
B. Find an angle with a positive measure and an angle with a negative measure that are coterminal with –120°.
positive angle: 120° + 360° = 240°
negative angle: 120° – 360° = –480°
Answer: 240° and –480°
![Page 6: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/6.jpg)
![Page 7: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/7.jpg)
Convert Between Degrees and Radians
A. Rewrite 30° in radians.
Answer:
![Page 8: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/8.jpg)
Convert Between Degrees and Radians
Answer: –300°
B. Rewrite in degrees.
![Page 9: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/9.jpg)
![Page 10: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/10.jpg)
![Page 11: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/11.jpg)
Find Arc Length
TRUCKS The steering wheel on a monster truck has a radius of 11 inches. How far does a point on the steering wheel travel if the wheel makes four fifths of a rotation?
Step 1 Find the central angle in radians.
![Page 12: Concept. Example 1 Draw an Angle in Standard Position A. Draw an angle with a measure of 210° in standard position. 210° = 180° + 30° Draw the terminal](https://reader035.vdocuments.us/reader035/viewer/2022062518/56649f135503460f94c26d79/html5/thumbnails/12.jpg)
Find Arc Length
≈ 55.3 in. Use a calculator to simplify.
Answer: A point on the steering wheel will travel about 55.3 inches after four fifths of a rotation.
Step 2 Use the radius and the central angle to find the arc length.
s = r Write the formula for arc length.