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use the trigonometric function values of the quadrantal angles to evalu…

Question

use the trigonometric function values of the quadrantal angles to evaluate. 4 tan 180° + 4 cos 180°
4 tan 180° + 4 cos 180° =
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Recall tan 180° value

The value of $\tan180^{\circ}=0$.

Step2: Recall cos 180° value

The value of $\cos180^{\circ}=- 1$.

Step3: Substitute values

Substitute $\tan180^{\circ}=0$ and $\cos180^{\circ}=-1$ into $4\tan180^{\circ}+4\cos180^{\circ}$. We get $4\times0 + 4\times(-1)$.

Step4: Calculate result

$4\times0+4\times(-1)=0 - 4=-4$.

Answer:

$-4$