## anonymous one year ago The point (−3, 1) 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

(-3,1) where x-coordinate represent cos and y-coordinate = y cos is negative so first we need to know at which quadrant we suppose to draw a right triangle remember the CAST rule |dw:1439468356304:dw|

2. Nnesha

so cos is negative in 2nd and 3rd quadrant. (-3,1) ^cos = -3 sin =1 so we should draw a right triangle in 2nd quadrant where cos is negative and sin is positive |dw:1439468726553:dw| apply the Pythagorean theorem to find 3rd side of right triangle $\huge\rm a^2+b^2=c^2$ c= hypotenuse(longest side of right triangle )

3. Nnesha

you also need this $\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }$