## anonymous one year ago The point (2, 3) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? Make sure to show all work.

1. anonymous

sdo you know what sine cosine and tangent mean

2. anonymous

sine = y cos=x $sinx^2 + cosx^2 = r^2$

3. anonymous

$(2,3)$ $2^2+ 3^2 = r^2$ $\sqrt{13}= r$

4. anonymous

$sine \theta = \frac{ y }{ r }$ $cos \theta = \frac{ x }{ r }$ $tan \theta = \frac{ y}{ x }$ can you solve now?

5. anonymous

yes thank you :)

6. anonymous

$\tan (\theta )=\frac{3}{2}$$\sin \left(\tan ^{-1}\left(\frac{3}{2}\right)\right)=\frac{3}{\sqrt{13}}$$\cos \left(\tan ^{-1}\left(\frac{3}{2}\right)\right)=\frac{2}{\sqrt{13}}$