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Multiple Angle Formulas ES: Demonstrating understanding of concepts Warm-Up: Use a sum formula to rewrite sin(2x) in terms of just sin(x) & cos(x). Do.

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Presentation on theme: "Multiple Angle Formulas ES: Demonstrating understanding of concepts Warm-Up: Use a sum formula to rewrite sin(2x) in terms of just sin(x) & cos(x). Do."— Presentation transcript:

1 Multiple Angle Formulas ES: Demonstrating understanding of concepts Warm-Up: Use a sum formula to rewrite sin(2x) in terms of just sin(x) & cos(x). Do the same for cos(2x). Now rewrite tan(2x) in terms of tan(x)..

2 Solve the Equation for x in [0, 2π) 1)sin(2x) = 0

3 Solve the Equation for x in [0, 2π) 2) sin(2x)sinx = cos(x)

4 Simplify the expression. 4sin(3x)cos(3x)

5 Simplify the expression. 3cos 2 (2x) – 3sin 2 (2x)

6 Simplify the expression. 2sin 3 (x)cos(x) – 2sin(x)cos 3 (x)

7 Verify

8 I propose a challenge to you. Test your trig manipulation skills and try to find formulas for sin(3x) in terms of sin(x) & cos(3x) in terms of cos(x). As a second challenge, how do you know if your answer is correct or not???


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