Will mark brainenst lots of ! 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

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.

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.

nlgqer

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