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 (−4,−5) on its terminal side

Question

sinθ= ?

cosθ= ?

tanθ= ?

cscθ= ?

secθ= ?

cotθ= ?

Answer 1

the angle is in quadrant III.

hypotenuse squared = 4^2 + 5^2 = 16+25 = 41

hypotenuse =h = sqr41

sinx = -5/sqr41

csx = -sqr41/5

cosx =-4/sqr41

secx =-sqr41/4

tanx = 5/4

cotx =4/5