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(Solved): tan\theta =(3)/(4), given that \theta is in quadrant III ...



tan\theta =(3)/(4), given that \theta is in quadrant III


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If we know that tan(?) = 3/4 and ? is in Quadrant III, we can find the value of ? using the properties of trigonometric functions in that quadrant.



In Quadrant III, both sine (sin) and tangent (tan) are negative. Since tan(?) = 3/4, we can determine the ratio of the opposite side to the adjacent side in a right triangle.

Let's assume that the adjacent side is 4 units long and the opposite side is 3 units long. Using the Pythagorean theorem, we can find the length of the hypotenuse. Applying the equation



, we have:








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