Question

WILL MARK BRAINENST HELP LOTS OF POINTS!!!

suppose theta is an angle in standard position whose terminal side lines in the quadrant lll. if cos theta =-3/8 find sin theta and tangent theta

Answer 1

So we know that terminal side line is at quadrant III and that cosθ = -3/8

Triangle would look like what you see in attachment.

To find sinθ and tanθ, we need to find missing side length. We can use pythagorean theorem.

`y^2 + (-3)^2 = (8)^2`

`y= √(55)`

But since we are on quadrant III, y must be negative. Hence y = -√55

So sinθ = OPP / HYP = -√55 / 8

and tanθ = OPP / ADJ = - √55 / - 3 = √55 / 3

Hope this helps.