MAC 1114 Trigonometry
Section 6.3: Trigonometric Equations Involving Multiple Angles
1) Solve sin 2θ = -θ = -
2θ = -
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2θ = -) Find all solutions for x if 0 ≤ x ≤ 2θ = -π. Use exact values only. Verify your answers
graphically. csc 3x = 1
3) Find all degree solutions for cos 3θ = -1.
4) Use your graphing calculator to find all degree solutions in the interval 0° ≤ θ ≤ 360° for
tan 2θ = -x = 1.
5) Find all solutions for x if 0 ≤ x ≤ 2θ = -π. Use exact values only. Verify your answers
graphically. sin 2θ = -x cos x + cos 2θ = -x sin x = -
2θ = -
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6) Find all solutions in radians using exact values only. cos2θ = - 4x = 1
7) Find all degree solutions. 2θ = -sin2θ = - 3θ + 3sin 3θ + 1 = 0
8) Find all degree solutions in the interval 0° ≤ θ ≤ 360° for
cos θ – sin θ = -1
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