120 likes | 238 Views
Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. 3) Write the degree measure of each radian measure. Find a positive coterminal angle and a negative coterminal angle for the given angle.
E N D
Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA.Use your notes if necessary. 3) Write the degree measure of each radian measure. Find a positive coterminal angle and a negative coterminal angle for the given angle.
Supplementary Angles: measures add up to 180°. Complementary Angles: measures add up to 90°. • Complementary and supplementary angles must be positive. 1) Find the complement of each angle. 2) Find the supplement of each angle.
1. To convert degrees to radians, multiply degrees by 2. To convert radians to degrees, multiply radians by
Rewrite each degree measure in radians and each radian measure in degrees. • In which quadrant does the terminal side of each angle lie?
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.
Definition of Trigonometric Functions Let t be a real number and let (x, y) be the point on the unit circle corresponding to t.
Determine the exact values of the six trigonometric functions of the angle θ.
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.