Multiple Angle Formulas TS: Making decisions after reflection and review
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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 the same for cos(2x). Now rewrite tan(2x) in terms of tan(x). .
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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 - PowerPoint PPT Presentation
Transcript of Multiple Angle Formulas TS: Making decisions after reflection and review
Multiple Angle FormulasES: 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).
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Solve the Equation for x in [0, 2π)
1) sin(2x) = 0
Solve the Equation for x in [0, 2π)
2) sin(2x)sinx = cos(x)
Simplify the expression.
4sin(3x)cos(3x)
Simplify the expression.
3cos2(2x) – 3sin2(2x)
Simplify the expression.
2sin3(x)cos(x) – 2sin(x)cos3(x)
Verify
2sin(4 ) 4sin cos (1 2sin )
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???
