Answer:
The values of theta where cos(theta) is 0 is equal to π/2 or 3π/2 so, the value of tan(theta) will be zero.
Step-by-step explanation:
As we know,
tan(theta) = sin(theta)/ cos(theta)
tan(theta) will be undefined whenever cos(theta) = 0
as anything divided by zero is undefined.
We need to find the values of theta where cos(theta) is 0.
cos(0) = 1
cos (π/2) = 0
cos(π) = 1
cos(3π/2) = 0
The values of theta where cos(theta) is 0 is equal to π/2 or 3π/2 so, the value of tan(theta) will be zero.
