Sunday, October 30, 2011

10-1

10-1 has plenty of formulas.

Formulas:
  1. Cos(alpha+-beta)=CosalphaCosbeta-+SinalphaSinbeta
  2. Sin(alpha+-beta)=SinalphaCosbeta+-CosalphaSinbeta
  3. Sinx+Siny=2Sin x+y/2Cos x-y/2
  4. Sinx-Siny=2Cos x+y/2Sin x-y/2
  5. Cosx+Cosy=2Cos x+y/2Cos x-y/2
  6. Cosx-Cosy=-2Sin x+y/2Sin x-y/2
Example 1: Find the exact value of sin150 degrees.
  • Step one: Look on the trig chart and see if any of the degrees add up to give you 150 degrees. 90+60=150
  • Step two: Place 90 and 60 in the formula, sin(alpha+-beta)=sinalphacosbeta+-cosalphasinbeta
  • Step three: Sin(90+60)=Sin90Cos60+Cos90Sin60
And after that just solve it and get the exact value.

Amber :)

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