Here's the question you clicked on:
HelpMe94
Find Exact Value of Sin, Cos, and Tan (See Attachment)
How do you find the answer from the sendon to last step on sine then to last step on sine?
|dw:1351912469684:dw| This is what i got
\[ \frac{\sqrt2}2\times\frac{\sqrt3}2+-\frac{\sqrt2}2\times\frac12\\ =\frac{\sqrt2}4\times\sqrt3-\frac{\sqrt2}4\times1\\ =\frac{\sqrt2}4[\sqrt3-1] \]
Your result is equivalent, merely a simplified form of the one they listed.
so if it asks to have the exact value would both answers work?