what is meant by the statement that "angle theta increases from 0 to infinity in the case of tangent theta in the first quadrant."Also explain how can tan theta attain the value of infinity in the first quadrant.

We know the fact that in the first quandrant, the value of theta increases from 0 to 90 degrees.

Also, tan 0 = 0 and tan 90 = infinity

 

Thus, in the first quadrant, when theta is 90 degrees, then tan theta attains the value of infinity.