A point P(x, y) is shown on the unit circle U corresponding to a real number t. Find the values of the trigonometric functions at t. Assume a = − 5 13 , b = 12 13 .

Question

A point P(x, y) is shown on the unit circle U corresponding to a real number t. Find the values of the trigonometric functions at t.Assume a = -5/13, b=12/13.

Answer 1

adjacent = -5/13

opposite = 12/13

it is in quadrant 2

then hypotenuse is sqrt[(-5/13)^2 + (12/13)^2] =

sqrt[ 25/169 + 144/169] =

sqrt(1) =

1

sine is 12/13

cosine is -5/13

tangent is -12/5

cosecant is 13/12

secant is -13/5

cotangent is -5/12