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Double Angle Formulas

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Let sinA=1/5 with A in QI. Find sin(2A).

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Find sin(90°) using a double angle formula.

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Simplify 2sin30°cos30°.

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Simplify cos 2 15°–sin 2 15°.

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Derive an alternative form of the identity cos(2A)=cos 2 A–sin 2 A.

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The identity with its alternative forms.

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Suppose that cos x =1/ 10 with x Q IV, find sin(2x) and cos(2x).

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Simplify 2cos 2 105°–1.

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Prove that (cos x – sin x)(cos x + sin x)=cos(2x)

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Derive a double angle formula for the tangent function.

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Given cos =1/ 10 and x QIV, find tan(2 ).

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Given csc t = 7 with t in QII, find sin(2t) and cos(2t).

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Copyright © 2009 Pearson Addison-Wesley 5.4-1 5 Trigonometric Identities.

Copyright © 2009 Pearson Addison-Wesley 5.4-1 5 Trigonometric Identities.

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