## anonymous one year ago Will medal and fan! 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. Nnesha

(x,y) x=cos y= sin both are positive in this order pair (2,3) so we should draw right triangle in first quadrant |dw:1442338381572:dw|

2. Nnesha

$\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }$

3. Nnesha

according^^ to that where you should write 2 on the right triangle ?

4. anonymous

The top? |dw:1442339336603:dw|

5. Nnesha

cos = adjacent over hyp |dw:1442343085336:dw| y = sin= opposite

6. Nnesha

now apply Pythagorean theorem to find 3rd side of the right triangle$\huge\rm a^2+b^2=c^2$ plugin a b values solve for c

7. Nnesha

remember c is the longest side of the right triangle (hypotenuse )