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 triangle sides are a = 6 and b = 9

Remaing side of triangle by the pythagaron therom is be √117.

So the opposite side is 6, adjacent side is 6 and hypotenuse is √117.

Sin theta = opposite side/hypotenuse = 6/√117

Cos theta = adjacent side/hypotenuse = 9/√117

Tan theta = opposite side/adjacent side = 6/9

Cot theta = adjacent side/opposite side = 9/6

Sec theta = hypotenuse/adjacent side = √117/9

Csc theta = hypotenuse/opposite side = √117/6