iCoachMath.com: Examples on Double Angles and Half Angles - Trigonometric Identities and Equations - (AL)
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Solved Examples

Curriculum: Alabama Course of Study   Click to change Curriculum

Topic: Trigonometric Identities and Equations  Click to change Topic

Lesson: 9, 12: Double Angles and Half Angles  Click to change Lesson

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DD  Find the value of tan 135° using triple-angle formula.
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DD  Find the value of tan 180° using triple-angle formula.
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DD  Find the value of tan 360° using triple-angle formula.
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DD  Find the value of sin 180° using triple-angle formula.
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DD  Find the value of cos 135°.
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DD  simplify cot 2A cot A.
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DD  If cot A = 34 with A in quadrant I, Find cot 2A.
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DD  Find the value of cos 270° using triple-angle formula.
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DD  Find the value of cos 180° using triple-angle formula.
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fff Find the value of sin 135° using triple-angle formula.
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fff Use the double-angle formula to find the value of sin 90°. fff View Solution
fff Use the double-angle formula to find the value of cos 120°.
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fff The value of sin 300° is _______ fff View Solution
fff The value of tan 240° is _______ .
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fff Use the double angle formula to find the value of tan 120°.
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fff If sin θ = 725 and θ is in first quadrant, then find the exact value of cos 2θ.
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fff Choose a formula that corresponds to the value of cos 4θ.
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fff Using double-angle formulas, choose the formula that corresponds to the value of sin 6θ.
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fff Simplify 1-cos2Asin2A.

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fff If sin A = 35 and 0° < A < 90°, then what is the value of sin 2A?
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fff If 90° < B < 180° and sin B = 1213, then find the value of tan 2B.

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fff If tan B = - 13 and 90° < B < 180°, then find the value of cos 2B.
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fff Find the value of sin 270° using triple-angle formula.
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fff If 180° < θ < 270° and sin θ = - 13, then find the value of sin 2θ.
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fff If C is in fourth quadrant and cos C = 2425, then find the value of cos 2C.
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fff Use half-angle formula to find the value of sin 15°. fff View Solution
fff Find the exact value of cos 75° using half angle formula.
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fff Find the exact value of tan 150° using half-angle formula. fff View Solution
fff If 0° < θ < 90° and sin θ = 1213, then find the exact value of sin &theta;2.
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fff If 90° < B < 180° and sin B = 45, then find the exact value of cos B2.
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fff Find the value of cot x - cos&nbsp;2xsin&nbsp;x&nbsp;cos&nbsp;x.  fff View Solution
fff If A is in third quadrant and cos A = - 513, then find the exact value of cos A2. fff View Solution
fff If 270° < C < 360° and cos C = 35, then find the value of tan C2. fff View Solution
fff Evaluate cos 22.5° using half-angle formula.
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fff Evaluate sin 67.5°. fff View Solution
fff The value of tan 202.5° is ________ fff View Solution
fff Evaluate cos 112.5°.
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fff If 180° < θ < 270° and cos θ = - 2425, then the exact value of sin 2θ is _________
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fff Using double-angle formulas, choose the formula that corresponds to the value of cot 4A.
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fff Using the half-angle formula, identify a formula for cos (A4).
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fff In ΔDEF if E = 90°, then find the value of sin 2D.
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fff In right triangle ABC, if B = 90°, then find the value of cos2(C2).
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fff Which one of these represents sin 2θ in terms of tan θ?

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fff Choose a formula that represents cos 2θ in terms of tan θ. fff View Solution
fff The value of cos215° - sin215° =
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fff Use half-angle formula to find the value of tan 15°.
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fff Simplify:
(tan θ + cot θ) sin 2θ fff
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fff Find the value of (sin A + cos A)2 in terms of sin 2A. fff View Solution
fff Find the value of (cos4A - sin4A) in terms of cos 2A.
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fff If cos x = 0.25 then cos (x2) =
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fff (cot θ - tan θ) =
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fff If cosec θ = p&nbsp;+&nbsp;qp&nbsp;-&nbsp;q, then find the value of cot (14π + 12θ ).
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