If the terminal side of 'theta' is in quadrant II and the reference angle is pi/3, find the exact values of sin(theta) and cos(theta)
a. sin(theta)='squareroot' 3/2 and cos(theta)=1/2
b. sin(theta)='squareroot' 3/2 and cos(theta)=1/2
c. sin(theta)='squareroot' 3/2 and cos(theta)=-1/2
d. sin(theta)=1/2 and cos(theta)='squareroot' 3/2
e. sin(theta)=-1/2 and cos(theta)= - 'squareroot' 3/2
+26387 If the terminal side of 'theta' is in quadrant II and the reference angle is pi/3,
find the exact values of sin(theta) and cos(theta)
II. Quadrant : \(\cos(\theta) <0 \\ \sin(\theta) >0\)
So the answer is c.
\(\begin{array}{|rcll|} \hline \sin^2(\theta) + \cos^2(\theta) &=& 1 \\ \left( \frac{\sqrt{3}}{2} \right)^2 + \left( -\frac12 \right)^2 &=& 1 \\ \frac{3}{4} + \frac14 &=& 1 \\ 1 &=& 1 \\ \hline \end{array} \)
