Question 913780
Evaluate the trig function: (Please show the step-by-step process for evaluating these two trig functions.)
sin t = 4/5 (working with a (3-4-5) reference right triangle)
a.) sin (pi - t)(starting from 0,rotate cc 180˚then back of t deg which gives you a reference angle=t in quadrant II in which sin>0. So, sin(pi-t)=sin t=4/5
b.) sin (t + pi)=sin(pi+t)(starting from 0,rotate cc 180&#730;then add t deg which gives you a reference angle=t in quadrant III in which sin<0. So, sin(t+pi)=sin t=-4/5
..
cos t =4/5 (working with a (3-4-5) reference right triangle)
a.) cos (pi - t)(starting from 0,rotate cc 180&#730;then back of t deg which gives you a reference angle=t in quadrant II in which cos<0. So, cos(pi-t)=cos t=-3/5
b.) cos (t + pi)=cos (pi+t)(starting from 0,rotate cc 180&#730;then add t deg which gives you a reference angle=t in quadrant III in which cos<0. So, cos(t+pi)=cos t=-3/5

note:
0pposite side of reference right triangle=4
Adjacent side of reference right triangle=3
Hypotenuse=5
sin=4/5
cos=3/5