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 =

Solution

tan(theta) = 7/5

hypotneuse of triangle = sqrt(7^2 + 5^2) = sqrt74

sintheta = 7/sqrt74

costheta = 5/sqrt74

sectheta = sqrt(74)/5

csctheta = sqrt(74)/7