Evaluate the six trigonometric functions of the angle theta when side a is 6 and side b is 9

Question

Please help I need the six trigonometric functions meaning the sine, cosine, tangent, cosecant, secant, and cotangent.

Answer 1

Given a = 6, b = 9

From the pythagoras therom

Hypotenuse^2 = oppositeside^2+adjacentside^2

c^2 = a^2+b^2

c^2 = 36+81

c = √117

SinѲ = oppositeside/hypotenuse = 9/√117

CosѲ = adjacentside/hypotenuse = 6/√117

TanѲ = oppositeside/adjacentside = 9/6

CotѲ = adjacentside/oppositeside = 6/9

CscѲ = hypotenuse/oppositeside = √117/9

SecѲ = hypotenuse/adjacentside = √117/6