MAT-129: PRECALCULUS Module 2—Trigonometric and Circular Functions OBJECTIVES After successfully completing Module 2, you should be able to: ●Convert: ○between decimal and degrees, minutes, and seconds ○degrees to radians and radians to degrees ●Decide: ○whether a function value is possible ●Determine: ○whether the trigonometric function equation is true or false ●Find: ○the measure of a coterminal angle ○trigonometric values of an angle ○function value of a given equation ○trigonometric function values of a given triangle ○sides and trigonometric functions for a given right triangle ○trigonometric function values for 30o, 45o, and 60oangles ○angle (quadrant I) given the trigonometric function value ○trigonometric function value of angle measure in radians ○arc length given the angle measure and radius ○distance using latitude ○arc length of a circle using s= rθ ○angle measure and radius of a circle using s= rθ ○area of a sector of a circle ○exact circular function values ○approximate circular function values ○number given a function value in any quadrant ○angular and linear velocity ●Graph: ○sine, cosine, and circular functions ●Identify: ○sign and quadrant ●Relate: ○linear and angular velocity ●Solve: ○applications involving angles Copyright © 2017 by Thomas Edison State University. All rights reserved.

○30-60 and 45-45 triangle problems ○a right triangle given an angle and a side ○grade resistance applications ○a right triangle given two sides ○problems using right triangles ○angle of elevation and angle of depression problems ○bearing problems of type 1 and type 2 ○applications involving circular functions ●Use: ○terminology and basic concepts of angles ○function value of a quadrantal angle ○reciprocal identities ○identities to find function value ○significant digits ○formulas for linear and angular velocity STUDY MATERIALS

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