# Answer to Question #33535 in Trigonometry for Kristen Woods

Question #33535

Let sin m = .11. Which of the following is sin m/2?

Expert's answer

There's formula relating sin m/2 and cos m:

sin m/2=sqrt((1-cos m)/2)

Also cos m=sqrt(1-sin^2 m)=sqrt(1-0.11^2)=0.99

So sin m/2=sqrt((1-cos m)/2)=sqrt((1-0.99)/2)=0.07

sin m/2=sqrt((1-cos m)/2)

Also cos m=sqrt(1-sin^2 m)=sqrt(1-0.11^2)=0.99

So sin m/2=sqrt((1-cos m)/2)=sqrt((1-0.99)/2)=0.07

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