Question

Please help me find the exact value of the problem. Must show work.

Answer 1

Use the unit circle to get the values in the given expression:

Coordinates are (cosine, sine)

`\begin{gathered} sin((\pi)/(3))-cos((\pi)/(6)) \\ \\ sin((\pi)/(3))=(√(3))/(2) \\ \\ cos((\pi)/(6))=(√(3))/(2) \\ \\ s\imaginaryI n((\pi)/(3))-cos((\pi)/(6))=(√(3))/(2)-(√(3))/(2)=0 \end{gathered}`

Then, the exact value of the given expression is 0