Let (3,-8) be a point on the terminal side of 0. Find the exact value of sin csc and cot

Answer 1

cotT=-3/8

sinT =-8/sqr73

cscT=-sqr73/8

plot the point, construct a right triangle, calculate the hypotenuse = sqr(8^2+3^2) = sqr(64+9) = sqr73

cotT = adjacent side over opposite side= 3/-8=-3/8

sinT = opposite side over hypotenuse=-8/sqr73

cscT = 1/sinT = hypotenuse over opposite side=sqr73/-8=-sqr73/8