Find the exact value each of the six trigonometric functions

Find the exact value each of the six trigonometric functions of theta, if (-5, -6) is a point on the terminal side of angle theta. sin theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize al denominators) sin theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize al denominators) cos theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize al denominators) tan theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize al denominators) csc theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize al denominators) sec theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize al denominators) cot theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize al denominators)

Solution

Point ( -5 , -6)

Hypotenuse = sqrt( 5^2 +6^2) = sqrt61

sintheta = -6/sqrt61

costheta = -5/sqrt61

tan(theta) = 6/5

sectheta = 1/costheta = -sqrt61/5

csctheta = 1/sintheta = -sqrt61/6

cot(theta) = 5/6