Sketch a right triangle corresponding to the trigonometric f

Sketch a right triangle corresponding to the trigonometric function of the acute angle theta. Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of theta. sin theta = 1/5 cos theta = tan theta = csc theta = sec theta = cot theta =

Solution

sin = 1/5

cos = sqrt[1 - sin^2 ] = sqrt(24)/5

tan = 1/sqrt(24)

csc = 1/sin = 5

sec = 1/cos = 5/sqrt(24)

cot = 1/tan = sqrt(24)