Find the exact value of each of the remaining trigonometric functions of 0 cos =

Question

Find the exact value of each of the remaining trigonometric functions of 0 cos = 2 with 0 in Quadrant IV sin (Type an exact answer, using radicals as needed. Simplify your answer. Rationalize all denominators) cot = Type an exact answer, using radicals as needed. Simplity your answer. Rationalize all denominators) tan = (Type an exact answer, using radicals as needed. Simplify your answer. Rationalize all denominators.) (Type an exact answer, using radicals as needed Simplify your answer Rationalize all denominators.) Type an exact answer, using radicals as needed. Simplify your answer. Rationalize all denominators.)

Explanation / Answer

cos theta = 2/3

base = 2

hypotenuse = 3

perpendicular = sqrt ( 3^2 - 2^2 ) = sqrt 5

sin theta = - sqrt 5 / 3

cot theta = - 2 / sqrt 5

= - 2 sqrt 5 / 5

tan theta = - sqrt 5 / 2

csc theta = - 3 sqrt 5 / 5

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