tanalpha16 and 0

tan(alpha)=1/6 and 0<alpha<pi/2

find:

sec (alpha)

cos (alpha)

cot (alpha)

sin (alpha)

csc (alpha)

Solution

tan(alpha)=1/6

sin (alpha)=1/[1²+6²] =1/37

cos (alpha)=6/[1²+6²] =6/37

csc(alpha)=1/sin(alpha)=37

sec(alpha)=1/cos(alpha)=37 /6

cot (alpha)= 1/tan(alpha)=6/1=6