If theta pi4 then find exact values for the following secth

If theta = pi/4, then find exact values for the following: sec(theta) equals Preview csc(theta) equals Preview tan(theta) equals Preview cot(theta) equals Preview

Solution

if theta= pi/4

then sin(theta)=1/sqrt(2), cos(pi/4)=1/sqrt(2) and tan(theta)=1

sec(theta) = 1/cos(theta)=1/(1/sqrt(2))=sqrt(2)

csc(theta) = 1/sin(theta)=1/(1/sqrt(2))=sqrt(2)

cot(theta)=1/tan(theta)=1/1=1