Solve the problem.
-What is the range of the tangent function?
A) all real numbers, except odd multiples of $$\frac { \pi } { 2 } ( 90 ) ^ { \circ }$$
B) all real numbers greater than or equal to 1 or less than or equal to -1
C) all real numbers
D) all real numbers from -1 to 1, inclusive

Question

Quizplus · Accepted Answer

The tangent function, which is the ratio of the sine to the cosine of an angle, can take on all real number values as its output. This is because as the angle approaches odd multiples of $\frac{\pi}{2}$ (or 90 degrees), the cosine of the angle approaches 0, making the tangent function approach infinity or negative infinity. Therefore, there are no real numbers that the tangent function cannot reach, making its range all real numbers.

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