If the terminal side of angle theta, in standard position, passes through point (-6,-9), what is the numerical value of csc theta?

Answer 1

That's in quadrant 3 where tangent is positive...

opposite = -9, adjacent = -6

hypotenuse = sqrt( 36 + 81) = sqrt(117)

sine is -9*sqrt(117)/117 upon rationalizing the denomintor

cosine is -6*sqrt(117)/117

tangent is 9/6 = 3/2

cosecant is -sqrt(117)/9

secant is -sqrt(117)/6

cotangent is 6/9 = 2/3