AndreaArt8844 AndreaArt8844
  • 21-10-2019
  • Mathematics
contestada

Find cos(−30°) and sin(−30°). Identify the measure of the reference angle.

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aristeus aristeus
  • 24-10-2019

Answer:

Reference angle will be [tex]60^{\circ}[/tex]

[tex]cos(-30)=0.866[/tex]

[tex]sin(-30)=-0.5[/tex]

Step-by-step explanation:

We have given angle = [tex]-30^{\circ}[/tex] which is equivalent to [tex]300^{\circ}[/tex]

We know that 300° lies in forth quadrant

For forth quadrant reference angle is given by [tex]300^{\circ}-angle[/tex]

So reference angle [tex]=360^{\circ}-300^{\circ}=30^{\circ}[/tex]

Now [tex]cos(-30)=cos(30)=0.866[/tex]

And [tex]sin(-30)=-sin(30)=-0.5[/tex]

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