If cot¤=7/8,find sin¤, Cos¤,Tan¤,Cosec¤,Tan¤

Due to the nature of the question, I will assume that you have been introduced to the circle on an x-y grid and the right-angled triangles with sides x and y and radius r, and have learned the definition of the six trig functions in terms of x, y, and r

cot¤ = 7/8 ----> tan¤ = 8/7, x = 7 and y = 8
or x = -7 and y = -8

r^2 = x^2 + y^2 = 49+64 = 113
r = √113

case 1: x=7, y=8, r=√113

sin¤ = y/r = 8/√113
cos¤ = x/r = 7/√113
tan¤ = y/x = 8/7
csc¤ = 1/sin¤ = √113/8
sec¤ = 1/cos¤ = √113/7
cot¤ = x/y = 7/8 ----- which was the given

I will let you do case 2