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EQUATION SOLVING: Example 1: Find all possible values of T so that 2 1 cosT . Solution: Sn S T 2 3 , Sn S T 2 3 5 , where n is an integer. Solution Method #1 – Graphically: There are an infinite number of solutions which are represented by the value of intersection points of the cosine curve and the constant function 2 1 y. y cosx 2 For 0dTd2S
This unit looks at the solution of trigonometric equations. In order to solve these equations we shall make extensive use of the graphs of the functions sine, cosine and tangent.
Section: Worksheet 4: Trigonometric Equations. Be sure to show all work that leads to your answers. No late papers will be accepted. 1. Find all solutions to the equation 2 sin x + 1 = 0 in the interval [0; 2 ]. 2. Find all solutions to the equation 3 cos x = 3 in the interval [0; 2 ]. 3.
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SOLVING TRIGONOMETRIC EQUATIONS. Directions: Solve each trigonometric function for ALL POSSIBLE VALUES IN DEGREES. Use the hints provided.
Solve each of the following trigonometric equations. a) cos 30 sin ( θ θ+ ° = ) , 0 360≤ < °θ b) 3cos 30 sin 60 ( x x + ° = − ° ) ( ) , 0 360≤ < ° x
In this unit we consider the solution of trigonometric equations. The strategy we adopt is to find one solution using knowledge of commonly occuring angles, and then use the symmetries in the graphs of the trigonometric functions to deduce additional solutions.
