Find the values of the trigonometric functions of from the
?Find the values of the trigonometric functions of ? from the information given. tan ? = ? 20/21 and cos ?>0
Solution
tan = -20/21 , cos > 0
cosine function is positive and tangent function is negative in Quadrant IV
tan = opposite side / adjacent side = -20/21
==> hypotenuse = [202 + 212] = 841
==> hypotenuse = 29
sin = opposite side / hypotenuse and sine function is negative in IV quadrant
==> sin = -20/29
cos = adjacent side / hypotenuse and cosine function is positive in IV quadrant
==> cos = 21/29
==> csc = 1/(sin ) = 1/(-20/29) = -29/20
==> sec = 1/(cos ) = 1/(21/29) = 29/21
==> cot = 1/(tan ) = 1/(-20/21) = -21/20
