Convert the following angle to radians or vice versa.

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Presentation transcript:

Convert the following angle to radians or vice versa. Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. Use your calculator to evaluate the following: Convert the following angle to radians or vice versa.

Trigonometric Values of Common Angles x y (0, 1) 90° 120° 60° 135° 45° 30° 150° (–1, 0) 180° (1, 0) 0° 360° 210° 330° 315° 225° 240° 300° (0, –1) 270° Trigonometric Values of Common Angles

Find the indicated trig ratio below.

Use a calculator to find the trig ratios.

EVEN and ODD Trig functions The cosine and secant functions are even. The sine, tangent, cosecant, and cotangent functions are odd.

Sine and cosine are periodic functions.

2) Evaluate the following without a calculator. 4) Use a calculator to evaluate.

1) A circle has a radius of 27 inches 1) A circle has a radius of 27 inches. Find the length of the arc intercepted by a central angle of 160°.

Linear and Angular Speed 2) The circular blade on a saw rotates at 2400 revolutions per minute. Find the angular speed in radians per second. The blade has a radius of 4 inches. Find the linear speed of a blade tip in inches per second.