Question 58 Answer and Explanation _ACT June 2005 Form 61D Math Section

Question 58 Answer and Explanation _ACT June 2005 Form 61D Math Section

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58. The quadrants of the standard (x, y) coordinate plane are shown in the figure below. Given that the vertex of ∠α is the origin, the positive x-axis is one side of ∠α, its other side lies in Quadrant II, and $\sin{\alpha}=\frac{\sqrt{3}}{2}$ , what is cos 2α?

F. $-\frac{\sqrt{3}}{2}$

G. $-\frac{1}{2}$

H. $\frac{1}{4}$

J. $\frac{1}{2}$

K. $\frac{\sqrt{3}}{2}$

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation