In Which Quadrant Is the Cosecant Function Positive?

In quadrant I, which is “A,” all of the six trigonometric functions are positive. In quadrant II, “Smart,” only sine and its reciprocal function, cosecant, are positive. In quadrant III, “Trig,” only tangent and its reciprocal function, cotangent

cotangent
The cotangent function is the reciprocal of the tangent function, and is abbreviated as cot . It can be described as the ratio of the length of the adjacent side to the length of the hypotenuse in a triangle.
, are positive.

In which quadrant is the cosecant function negative?

Answer: Quadrant II that is common for both.

Which functions are positive in which quadrant?

Thus, in the first quadrant, where x and y coordinates are all positive, all six trigonometric functions have positive values. In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive. In the third quadrant, only tangent and cotangent are positive.

James H. Sterling

James H. Sterling

Environmental Science & Climate Journalist

James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.