SOLUTION: Find the domain of the function f : θ map to tanθ / (2sinθ

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Question 1163055: Find the domain of the function
f : θ map to tanθ / (2sinθ - 3cos θ)
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!

can be any real number except for any value that would make . So solve the equation for all values of and exclude those values from the domain.

John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52906)   (Show Source):
You can put this solution on YOUR website!
.

This problem has an OBVIOUS TRAP.

The trap is that in addition to excluded points, where the denominator is zero   // (as John had noticed),

the infinite set of points = , n = 0, +/-1. +/-2, . . . and so on also should be excluded from the number line

where the function is not defined.

SOLUTION: Find the domain of the function f : θ map to tanθ / (2sinθ - 3cos θ)