Math help ?

Question

Look at the image below. What does 

sin(theta) equals Cos(theta) equals Sec(theta) equals

Answer 1

 If tan (θ) = 12/5,

 then,

 sin(θ) = 12/13, cos θ = 5/13, and sec θ = 13/5

Answer 2

A familiar identity is tan^2(theta) + 1 = sec^2(theta),

so in your problem, 576/100 + 100/100 = 676/100 = (26/10)^2 and 

sec(theta) = 26/10 or 13/5. Then cos(theta) = 10/26 or 5/13, and 

sin(theta) = sqrt[1 - cos^2(theta) ] = 12/13.