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What are the domains of sine cosine and tangent?

In: Math and Arithmetic, Calculus, Trigonometry [Edit categories]

Answer:

The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta.

The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity.

The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in the positive direction, and -pi/2, -3pi/2, -5pi/2, ... As a result, tangent(theta) is undefined at these values, so the domain of tangent is all numbers from negative infinity to positive infinity except all numbers n pi/2 where n is odd.

First answer by Alex146. Last edit by Alex146. Contributor trust: 419 [recommend contributor ]. Question popularity: 1 [recommend question].

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