Question

1. cot(-1.1)

Explanation:

Step1: Recall the cotangent identity

We know that \(\cot(-x)=-\cot(x)\), so \(\cot(-1.1)=-\cot(1.1)\). Also, \(\cot(x)=\frac{\cos(x)}{\sin(x)}\), so we can rewrite \(\cot(1.1)\) as \(\frac{\cos(1.1)}{\sin(1.1)}\).

Step2: Calculate \(\cos(1.1)\) and \(\sin(1.1)\)

Using a calculator (in radians mode), we find that \(\cos(1.1)\approx0.4536\) and \(\sin(1.1)\approx0.8912\).

Step3: Compute \(\cot(1.1)\)

\(\cot(1.1)=\frac{\cos(1.1)}{\sin(1.1)}\approx\frac{0.4536}{0.8912}\approx0.5090\).

Step4: Find \(\cot(-1.1)\)

Since \(\cot(-1.1)=-\cot(1.1)\), then \(\cot(-1.1)\approx - 0.5090\).

Answer:

\(\approx - 0.509\)