Find the values of the indicated functions Given cot theta19

Find the values of the indicated functions. Given cot theta=1/9, find sin theta and tan theta

Solution

cot(theta) = 1/9

tan(theta) = 1/ cot(theta)

tan(theta) = 9

also tan(theta) = perpendicular(P) / base (B) = 9/1

ie P = 9, B = 1

so hypotenuse (H) = ( 9²+1)^1/2 = 9.055

sin(theta) = P / H

= 9 / 9.055

= 0.99