If tan=-4/3 in quadrent 2 what is cos

Step-by-step explanation:

Remember that the tangent trigonometric ratio is the opposite side of right triangle divided by the adjacent side:

Comparing the equations we can infer that:

opposite side = 4

adjacent side = 3

Now we can use Pythagoras to find the hypotenuse of our right triangle:

Remember that the cosine trigonometric ratio is the adjacent side divided by the hypotenuse; in other words:

We know that adjacent side = 3 and hypotenuse = 5.

Replacing values:

Now, remember that cosine means x and sine means y. In Quadrant 2 x is negative, which means that cosine is negative.

So, if in quadrant 2, then