Lesson_7.6_Quadratic Trig Eqns

Lesson_7.6_Quadratic Trig Eqns - specified interval....

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MHF 4U0 Name: 7.6 Solving Quadratic Trigonometric Equations To solve an equation which involves the square of a trigonometric ratio, we can apply the same skills we would use to solve a quadratic equation: (1) factoring (2) quadratic formula Don’t forget the rules for solving linear trigonometric equations – they will apply to solving quadratic trigonometric equations too: (1) Special Triangles (2) CAST Rule (3) Calculator (when the angle is not in a special triangle) (4) Check the period of the function to determine the number of solutions in the
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Unformatted text preview: specified interval. Example #1: Solve each equation for x , π 2 ≤ ≤ x . (a) 2cos 2 x – 1 = 0 (b) cos x + 2sin x cos x = 0 (c) sin 2 x – 2sin x – 3 = 0 pg. 1/3 MHF 4U0 Name: (d) 2csc 2 x + csc x – 1 = 0 (e) 2cos 2 x + sin x – 1 = 0 (f) cos 2 x – sin 2 x = 1 pg. 2/3 MHF 4U0 Name: Example #2: Solve the following equation for θ , where π 2 ≤ ≤ : cos 3 sin 2-= pg. 3/3 Assigned Work: page 435 #1 – 3, 4abcd, 5abd, 6ab, 7, 8abef, 9ab, 11...
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This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.

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Lesson_7.6_Quadratic Trig Eqns - specified interval....

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