Evaluate the expression.
-$\tan \left( n \cdot 180 ^ { \circ } \right)$
A) $- 1$
B) Undefined
C) 0
D) 1

Name: Evaluate the expression. -$\tan \left( n \cdot 180 ^ { \circ } \right)$ A) $- 1$ B) Undefined C) 0 D) 1
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Question

Quizplus · Accepted Answer

The tangent of any angle that is an integer multiple of 180 degrees is 0, because $\tan(180^\circ n) = \tan(n \cdot \pi)$, and since the sine of $n\pi$ is 0 and the cosine is ±1 (depending on the value of n), the tangent, which is sine over cosine, is 0.

Evaluate the Expression tan⁡(n⋅180∘)\tan \left( n \cdot 180 ^ { \circ } \right)tan(n⋅180∘)

Evaluate the Expression $\tan \left( n \cdot 180 ^ { \circ } \right)$