Sample Problem

If tan θ is undefined and 0≤θ≤π, find: (if the answer is undefined, put “/” as your answer)

sin θ=

cos θ=

csc θ=

sec θ=

cot θ=


If tan θ is undefined, and tan θ=sin θ/cos θ, we know that cos θ=0 for tan θ to be undefined; the only θ such that 0≤θ≤π that has a cos value of 0 is π/2; therefore θ=π/2 with coordinates (0, 1)

sin π/2= 1

cos π/2=0

csc π/2= 1

sec π/2= undefined

cot π/2= 0