Question

Use the given info to determine the exact trigonometric value.
tanX = (square root of 3)/4, 0 12 years ago

Answer 1

Recall:\[\Large \cot x=\frac{1}{\tan x}\]

Answer 2

Thanks, I have no idea what this given info means, specifically 0<X<(pi/2). Could you maybe help me understand?

Answer 3

I get what it means, but not how to use it basically

Answer 4

It doesn't actually matter in this particular case.
But in general it's telling us `which quadrant` our angle X falls into.

Since our angle is between 0 and pi/2, we're in the first quadrant, yes?

Answer 5

With tangent and cotangent, they will always share the same `sign`, so we don't have to worry about making a mistake with this particular problem.
(tangent is positive, so cotangent will be positive).

Answer 6

So like ummm...

Answer 7

Here's a good example problem for you:

Answer 8

Use the given info to determine the exact trigonometric value.
tanX = 3 / 4 ; pi < X < (3pi/2) ;
sinX = ?

Answer 9

Understand how the `pi < X < (3pi/2)` is telling us that we're in the 3rd quadrant?

Answer 10

Wow okay, yeah, that really helped. Thank you!