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In the third quadrant, both the x and y coordinates are negative. Since tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle, in the third quadrant where both sides are negative, the tangent of an angle theta will be positive. Therefore, tan theta is not negative in the third quadrant.
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Is it possible for sin theta cos theta and tan theta to all be negative for the same value of theta?
No, they cannot all be negative and retain the same value for theta, as is shown with the four quadrants and their trigonemtric properties. For example, in the first quadrant (0
If sin theta equals 3/4 and theta is in quadrant II what is the value of tan theta?
0.75
Which quadrant would an answer be in if tan was positive and sin was negative?
The third quadrant.
If tansqtheta plus 5tantheta0 find the value of tantheta plus cottheta?
tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
Exact solution for Tan theta equals negative square root of 3?
Negative 1.047197551 etc, etc.
