Precalculus
posted by Jess on .
Find the exact value of sin 15°.
I got square root of 2squaroot of 3/2
is that correct?

You'd have to get used to being precise with parentheses if you want to do well in maths.
I got "square root of 2squaroot 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 halfangle formula
sin(θ/2)
=sqrt((1cos(θ))/2)
=sqrt((1cos(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.