Posted by **Jess** on Saturday, August 6, 2011 at 6:09pm.

Find the exact value of sin 15°.

I got square root of 2-squaroot of 3/2

is that correct?

- Precalculus -
**MathMate**, Saturday, August 6, 2011 at 7:48pm
You'd have to get used to being precise with parentheses if you want to do well in maths.

I got "square root of 2-squaroot of 3/2"

means

√2 - √(3/2),

more or less, which is probably not quite what you mean.

sin(15°)

can be found by the half-angle formula

sin(θ/2)

=sqrt((1-cos(θ))/2)

=sqrt((1-cos(30°))/2)

=sqrt((1-(√3)/2)/2)

=sqrt((2-√3)/4)

=sqrt(2-√3)/2

which is very similar to your answer less the parentheses.

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