Find the values of sin t cos t tan t csc t soe t and cot t i

Find the values of sin t, cos t, tan t, csc t, soe t, and cot t if P = -1 is the point on the unit circle that corresponds to the real number t (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cost= (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression.) tan (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) see t = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Solution

x =-1/2 , y =3 /2 , r =1

sint =y/r =3 /2

cost =x/r =-1/2

tant =y/x =(3 /2)/(-1/2) =-3

csct =r/y =1/(3 /2) =2/3

sect =r/x =1/(-1/2) =-2

cot t = x/y =(-1/2)/(3 /2) =-1/3