given that cos0=1/2 and 0 is anacute angle find the value of sin0 using trigonometric

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- May 18th 2006, 01:13 AMmelissaplease help
given that cos0=1/2 and 0 is anacute angle find the value of sin0 using trigonometric

- May 18th 2006, 04:20 AMtopsquarkQuote:

Originally Posted by**melissa**

So

$\displaystyle sin \theta = \pm \sqrt{1- cos^2\theta}=\pm \sqrt{1-(1/2)^2}$

$\displaystyle = \pm \sqrt{1-1/4}=\pm \sqrt{3/4} = \pm \sqrt{3}/2$.

We know that theta is an acute angle, so it's in the first quadrant. Also, sine is positive in the first quadrant. Thus: $\displaystyle sin \theta= \sqrt{3}/2$.

-Dan