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Lesson_7.5_LinearTrigEqns

# Lesson_7.5_LinearTrigEqns - (4 Check the period of the...

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MHF 4U0 Name: 7.5 Solving Linear Trigonometric Equations A trigonometric equation is an equation that contains one or more trigonometric functions. To solve a trigonometric equation means to find all values of the variable that make the equation true. Due to the periodic nature of trigonometric functions, these equations will have an infinite number of solutions. Check the specified interval before stating all solutions. Tips for solving trig equations: (1) Special Triangles (2) CAST Rule (3) Calculator (when the angle is not in a special triangle)

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Unformatted text preview: (4) Check the period of the function to determine the number of solutions in the specified interval. • y = sin x has one cycle in the interval [0, 2 π ] • y = sin 2 x has two cycles in the interval [0, 2 π ] Example #1: Solve each trigonometric equation for the interval [0, 2 π ]. (a) 3 cos 2 =-x (b) 2 sin 3 =-x (c) sin θ = cos θ (d) 2 sec θ + csc θ = 0 pg. 1/2 MHF 4U0 Name: (e) 2 3 2 sin = θ (f) 3 1 2 tan-= pg. 2/2 Assigned Work: page 426 #1 – 2 (ace), 3 – 5, 6def, 7abce, 8d, 9abc, 10acf, 11...
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Lesson_7.5_LinearTrigEqns - (4 Check the period of the...

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