I'm having a little trouble with this trig problem.

tan(a) = -(3/2) and sin(a) < 0. Evaluate the following:

sin(a)

cos(a)

sec(a)

csc(a)

cot(a)

I've already gotten that cot(a) = -(2/3) but I have no clue how to get any of the others.

Printable View

- September 18th 2008, 12:48 PMjohn11235Trig problem
I'm having a little trouble with this trig problem.

tan(a) = -(3/2) and sin(a) < 0. Evaluate the following:

sin(a)

cos(a)

sec(a)

csc(a)

cot(a)

I've already gotten that cot(a) = -(2/3) but I have no clue how to get any of the others. - September 18th 2008, 12:53 PMhwhelper
sec^2 a = tan^2 a + 1

sec a = 1 / cos a

Go from there. - September 18th 2008, 12:58 PMicemanfan
Draw a triangle with y = -3a and x = 2a, and then calculate the value for r (the hypotenuse) by using the Pythagorean Theorem: . Since all basic trig functions are functions of some combination of x, y, and r, you should be able to calculate all of them once you know r.