5.5-Multiple Angle Formulas

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Presentation transcript:

5.5-Multiple Angle Formulas

Double Angle Formulas:

Ex. 1 Solve the equation:

Ex. 2 and Find: 13 5 a) -12 b) We could use any of the three formulas for cosine!

c) 13 5 -12 12

Ex. 3 Rewrite as a sum of two sinx expressions:

Ex. 4 Find the value of:

Power-Reducing Formulas

Ex. 5 Re-write as a sum of first powers of the cosines of multiple angles:

Half-Angle Formulas

Ex. 6 Find the value of: 225 is a unit circle value! Note that: Why negative??

Ex. 7 Find the exact value of: 210 is a unit circle value! Note that: Why positive??