Question

find the six trigonometric function of the acute angles if a=1, b=2?

Answer 1

Given triangle sides are a = 1and b = 2

Remaing side of triangle by the pythagaron therom is be √5.

So the opposite side is 1, adjacent side is 2 and hypotenuse is √5.

Sin theta = opposite side/hypotenuse = 1/√5

Cos theta = adjacent side/hypotenuse = 2/√5

Tan theta = opposite side/adjacent side = 1/2

Cot theta = adjacent side/opposite side = 2/1

Sec theta = hypotenuse/adjacent side = √5/2

Csc theta = hypotenuse/opposite side = √5/1