Find the six trigonometric function values of the specified

Find the six trigonometric function values of the specified angle sin theta = (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression.) cos theta = (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression.) tan theta = (Simplify your answer including any radicals Use integers or fractions for any numbers in the expression.) sec theta = (Simplify your answer including any radicals Use integers or fractions for any numbers in the expression.) csc theta = (Simplify your answer including any radicals Use integers or fractions for any numbers in the expression.)

Solution

Let a = 5, b = 6

Then c = sqrt[a^2 + b^2] = 61

sin = a/c = 5/61

cos = b/c = 6/61

tan = a/b = 5/6

sec = c/b = 1/cos = 61/6

csc = c/a = 1/sin = 61/5

cot = b/a = 1/tan = 6/5