## anonymous one year ago ACT Question: If the value, to the nearest thousandth, of cos theta is -0.385, which of the following could be true about theta? a.) theta is greater than or equal to 0 and less than pi/6 b.) theta is greater than or equal to pi/6 and less than pi/3 c.) theta is greater than or equal to pi/3 and less than pi/2 d.) theta is greater than or equal to pi/2 and less than 2pi/3 e.) theta is greater than or equal to 2pi/3 and less than or equal to pi

1. anonymous

If the cosine of an angle is negative, then the angle is in either the second or third quadrant.

2. anonymous

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3. pooja195

Mass tag much? There is already someone helping.

4. anonymous

Please explain it cause I know the answer from the back of the act book but I just dont get it

5. pooja195

Im not helping. @SithsAndGiggles is already helping you why not try to understand them rather than bring attention to the post.

6. anonymous

In terms of $$x,y,z$$, you have $$\cos\theta=\dfrac{x}{z}$$ (where $$\theta$$ is the angle I mistakenly left out). $$z$$ is always taken to be a positive number, so if the trig ratio is negative, either $$x$$ or $$y$$ must be negative.

7. anonymous

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