Find the values of sine, cosine, tangent, cosecant, secant, and cotangent for the angle θ in standard position on the coordinate plane with the point (7,4) on its terminal side

Question

sinθ= ?

cosθ= ?

tanθ= ?

cscθ= ?

secθ= ?

cotθ= ?

Answer 1

radius = sqrt(7^2 + 4^2 ) = sqrt(65)

sin(theta) = 4/sqrt(65)

cos(theta) = 7/sqrt(65)

tan(theta) = 4/7

cot(theta) = 7/4

csc(theta) = sqrt(65)/4

sec(theta) = sqrt(65)/7