# Multiple Angle Formulas TS: Making decisions after reflection and review - PowerPoint PPT Presentation

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Multiple Angle Formulas TS: Making decisions after reflection and review. 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). Solve the Equation for x in [0, 2 π ). sin(2x) = 0

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Multiple Angle Formulas TS: Making decisions after reflection and review

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## Multiple Angle FormulasTS: Making decisions after reflection and review

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).

.

### Solve the Equation for x in [0, 2π)

• sin(2x) = 0

• sin(2x)sinx = cos(x)

Solve the Equation for x in [0, 2π)

2) sin(2x)sinx = cos(x)

4sin(3x)cos(3x)

### Simplify the expression.

3cos2(2x) – 3sin2(2x)

### Simplify the expression.

2sin3(x)cos(x) – 2sin(x)cos3(x)

### Verify

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???