If sin theta = 2/3 and tan theta < 0 what is the value of cos theta?
a) (sqrt5)/2
b) -sqrt5
c) (sqrt5)/3
d) -(sqrt5)/3

d)

Step-by-step explanation:

If   and , then

is in quadrant 2.

Recall that;

We substitute the given sine ratio to obtain;

We are in the second quadrant, therefore

f

step-by-step explanation:

f

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb