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Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. 1) Write the degree measure of each radian measure. a) 2 ___ b) ___ c) d) 2 4 ___ ___ e) f) 3 6 Write the complement and supplement of each angle. ___ 2) 70 ___ 3) 5 Definition of Trigonometric Functions Let t be a real number and let (x, y) be the point on the unit circle corresponding to t. sin t y cos t x y tan t x 1 csc t y 1 sec t x x cot t y 12 5 , 13 13 y x Determine the exact values of the six trigonometric functions of the angle θ. Find the indicated trig ratio below. 2 1) sin 3 2 5) csc 3 5 2) cos 6 5 6) sec 6 11 3) tan 6 11 7) cot 6 4) cos( 60) 8) cos( 60) Use a calculator to find the trig ratios. 1) tan 48 2) tan( 5.22) 2 3) cos 7 4) tan 35 4 5) csc 11 6) sec(11) 2 7) cot 7 Arc Length s r 1) A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 125°. 2) A circle has a diameter of 8 inches. Find the length of the arc intercepted by a central angle of 270°. Linear and Angular Speed arc length s Linear speed time t central angle angular speed time t 2) The circular blade on a saw rotates at 1200 revolutions per minute. a)Find the angular speed in radians per second. b)The blade has a radius of 6 inches. Find the linear speed of a blade tip in inches per second. 1) Convert 60 from degrees to radians. 2) Find the supplement of an angle 5 measuring . 7 3) On a circle with a radius of 9 inches, find the length of the arc intercepte d by a central angle of 140. Linear and Angular Speed arc length s Linear speed time t central angle angular speed time t 2) The circular blade on a saw rotates at 2400 revolutions per minute. a)Find the angular speed in radians per second. b)The blade has a radius of 4 inches. Find the linear speed of a blade tip in inches per second.