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

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Presentation on theme: "Double Angle Formulas. Let sinA=1/5 with A in QI. Find sin(2A)."— Presentation transcript:

1 Double Angle Formulas

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

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

8 Simplify 2sin30°cos30°.

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11 Simplify cos 2 15°–sin 2 15°.

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

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14 The identity with its alternative forms.

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

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19 Simplify 2cos 2 105°–1.

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

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37 Derive a double angle formula for the tangent function.

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

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

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