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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.
Solving Trigonometric. ). Solution Method #2 – Unit Circle Approach: cos . 1. occurs when x for point(s) on the unit circle. 2. 1 3 The two poin. 2 2 . . angles are (QI) and 5 (QIV). 3 3. Generalizing, 2. 5 . n , 2 n . 3. 1 3. ( , ) 2 2. x. 3. ) ( , . 2. Solution Method #3 – Triangle Approach: 1.
Use the fundamental identities to solve trigonometric equations. Express trigonometric expressions in simplest form. Solve trigonometric equations by factoring. Solve trigonometric equations by using the Quadratic Formula.
These solved problems include the proofs of the theorems and the derivation of formulas. The chapters end with a set of supplementary problems with their answers. Triangle solution problems, trigonometric identities, and trigonometric equations require a knowledge of elementary algebra.
trigonometric identities with solutions. Created by T. Madas. Created by T. Madas. TRIGONOMETRIC IDENTITIES. Created by T. Madas. Created by T. Madas. 1. ( ) ( )2cos sin cos 2sin 5x x x x+ + − ≡2 2(**) 2.sec sec sin cosθ θ θ θ− ≡2(**)
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
Examples Find all the exact solutions for the following equations. 1. Back to Equations List
