Question

Tangent is positive in quadrants I and IV only.
True or False

Answer 1

I believe the correct answer would be false. The tangents are positive in quadrant I and in III. A tangent in a certain quadrant is said to be positive if all 3 trigonometric function, namely sine, cosine and tangent, are positive. Hope this answers the question. Have a nice day.

Answer 2

The statement is false

Explanation:

we know that

`tan(x)=(sin(x))/(cos(x))`

The tangent function will be positive when the sine function and the cosine function have the same sign

so

In the first quadrant the tangent function is positive

In the third quadrant the tangent function is positive

so

The statement is false