Question

What is the exact value of cotangent (StartFraction 3 pi Over 4 EndFraction)?.

Answer 1

Answer:

$cot(\frac{3\pi}{4})=-1$

Step-by-step explanation:

$cot(\frac{3\pi}{4})\\ \\=\frac{cos(\frac{3\pi}{4})}{sin(\frac{3\pi}{4})}\\ \\=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}\\ \\=-1$