Question

Write the Zeros of tangent Functions.​

Answer 1

Here, we will use radians. Since, tan(x)=sin(x)cos(x) the tangent function is undefined when cos(x)=0 . Therefore, the tangent function has a vertical asymptote whenever cos(x)=0 . Similarly, the tangent and sine functions each have zeros at integer multiples of π because tan(x)=0 when sin(x)=0

Answer 2

Answer:

The tangent will be zero wherever its numerator (the sine) is zero. This happens at 0, π, 2π, 3π, etc, and at –π, –2π, –3π, etc. Let's just consider the region from –π to 2π, for now. So the tangent will be zero (that is, it will cross the x-axis) at –π, 0, π, and 2π