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Double-Angle and Half-angle Formulas

Double-Angle and Half-angle Formulas. Double-Angle Formulas. Finding exact values. Solutions. Solutions. solutions. Develop a formula for sin (3 θ ) in terms of sin θ and cos θ . Establishing Identities. Other variations of double-angle formulas.

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Double-Angle and Half-angle Formulas

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  1. Double-Angle and Half-angle Formulas

  2. Double-Angle Formulas

  3. Finding exact values

  4. Solutions

  5. Solutions

  6. solutions

  7. Develop a formula for sin (3θ) in terms of sin θ and cos θ. Establishing Identities

  8. Other variations of double-angle formulas

  9. Write an equivalent expression for cos^4θ that does not involve any powers of sine or cosine greater than 1. Establishing an identity

  10. Solution

  11. Half angle formulas

  12. Find the exact value of cos (15 degrees) Find the exact value of sin (165 deg) Find the exact value of tan (195 deg) Finding Exact Values

  13. Remember to be careful to check the sign of the cosine of the angle Remember to look at the quadrant to determine if the final answer is positive or negative Finding Exact Values

  14. Finding Exact Values

  15. Solutions

  16. alternative formula

  17. Tutorial Video Help On-line help

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