what signs are $\cos(-80^{\circ})$ and $\tan(-80^{\circ})$?\ $\bigcirc$ they are both positive.\ $\bigcirc$ $\cos(-80^{\circ}) 0$ and $\tan(-80^{\circ})

Question

what signs are $\cos(-80^{\circ})$ and $\tan(-80^{\circ})$?\ $\bigcirc$ they are both positive.\ $\bigcirc$ $\cos(-80^{\circ}) > 0$ and $\tan(-80^{\circ}) < 0$\ $\bigcirc$ they are both negative.\ $\bigcirc$ $\cos(-80^{\circ}) < 0$ and $\tan(-80^{\circ}) > 0$

Accepted Answer

# Explanation: ## Step1: Determine the quadrant of $-80^{\circ}$ $-80^{\circ}$ is in the fourth quadrant. ## Step2: Recall the sign of trigonometric functions in the fourth quadrant In the fourth quadrant, $\cos\theta>0$ and $\tan\theta < 0$ (since $\tan\theta=\frac{\sin\theta}{\cos\theta}$ and $\sin\theta<0$ in the fourth quadrant). # Answer: $\cos(- 80^{\circ})>0$ and $\tan(-80^{\circ})<0$

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Question

Explanation:

Step1: Determine the quadrant of \(-80^{\circ}\)

Step2: Recall the sign of trigonometric functions in the fourth quadrant

Answer: