given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of…
given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function. tan(-90°)
Answer
Explanation:
Step1: Recall the tangent formula
$\tan\theta=\frac{\sin\theta}{\cos\theta}$
Step2: Find $\sin(- 90^{\circ})$ and $\cos(-90^{\circ})$
$\sin(-90^{\circ})=-1$, $\cos(-90^{\circ}) = 0$
Step3: Calculate $\tan(-90^{\circ})$
$\tan(-90^{\circ})=\frac{\sin(-90^{\circ})}{\cos(-90^{\circ})}=\frac{-1}{0}$, which is undefined.
Answer:
Undefined