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A quadrant is the area that is divided into the x and y axes
The quadrants in which tan and cot
are positive are I and III
The tangent of an angle is calculated as:
While the cotangent of the angle is calculated as:
The above equations mean that:
For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.
- In the first quadrant, the sine and the cosine angles are positive.
- In the third quadrant, the sine and the cosine angles are negative.
Hence, the quadrants in which tan and cot
are positive are I and III
Read more about trigonometry ratios at: