## heartylove Group Title Find the exact value of sin((cos^-1)(5/13)) one year ago one year ago

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1. dpaInc Group Title

draw a right triangle and label the sides according to what's given... let $$\large \theta=cos^{-1}(\frac{5}{13})$$ now, $$\large \theta=cos^{-1}(\frac{5}{13})$$ means $$\large cos\theta=\frac{5}{13}$$ so you can draw the right triangle along with the angle theta...|dw:1360580027671:dw|

2. dpaInc Group Title

since the problem is $$\large sin(cos^{-1}\frac{5}{13})=sin(\theta)=???$$ you can see that you need to find the side opposite theta to find sin(theta).... just use pythagorean theorem...