iCoachMath.com: Examples on Multiple-Angle Identities - Analytic Trigonometry

Curriculum: Alaska Math Grade Level Expectations Click to change Curriculum

Topic: Analytic Trigonometry Click to change Topic

Lesson: Multiple-Angle Identities Click to change Lesson

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c Find the value of sin 90°, using the double-angle formula. c

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c The value of tan 240° is:
c

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c Using the double-angle formula, find the value of cos 120°. c

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c The value of sin 300° is: c

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c Using the double angle formula, find the value of tan 120°. c

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c If sin θ = 725 and θ is in first quadrant, then find the exact value of cos 2θ.
c

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c If sin A = 35 and 0° < ∠A < 90°, then what is the value of sin 2A? c

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c If 90° < ∠B < 180° and sin B = 1213, then find the value of tan 2B.
c

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c If tan B = - 13 and 90° < ∠B < 180°, then the value of cos 2B is: c

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c If 180° < θ < 270° and sin θ = - 13, then find the value of sin 2θ. c

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c If ∠C is in fourth quadrant and cos C = 2425, then find the value of cos 2C. c

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c Using half-angle formula, the value of sin 15° is: c

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c Using half angle formula, the exact value of cos 75° is:
c

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c Choose the value of tan 150° from the following. c

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c If 0° < θ < 90° and sin θ = 1213, then the exact value of sin θ2 is:
c

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c If 90° < ∠B < 180° and sin B = 45, then the exact value of cos B2 is _________.
c

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c If ∠ A is in third quadrant and cos A = - 513, then the exact value of cos A2 is: c

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c If 270° < ∠ C < 360° and cos C = 35, then the value of tan C2 is: c

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c Evaluate cos 22.5° using a half-angle formula. c

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c Simplify: 1-cos 2Asin 2A c

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c (sin A + cos A)² in terms of sin 2A is: c

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c (cos⁴A - sin⁴A) in terms of cos 2A is: c

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c (cot θ - tan θ) = ? c

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c Evaluate: sin 67.5°
c

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c The value of tan 202.5° is: c

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c Evaluate: cos 112.5° c

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c If 180° < θ < 270° and cos θ = - 2425, then the exact value of sin 2θ is: c

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c Choose the formula that corresponds to the value of cos 4θ. c

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c Using double-angle formulas, choose the formula that corresponds to the value of sin 6θ.
c

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c Using the half-angle formula, write a formula for cos (A4). c

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c In ΔDEF, if ∠E = 90°, then sin 2D=? c

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c In right triangle ABC, if ∠B = 90°, then cos² (C2) = ? c

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c Write sin 2θ in terms of tan θ. c

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c Write cos 2θ in terms of tan θ using double-angle formula. c

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c The value of cos²15° - sin²15° = ________. c

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c Using half-angle formula, find the value of tan 15°. c

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c Simplify: (tan θ + cot θ) sin 2θ c

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