Question

Sort the following values of $\cot x$ in ascending order.

• A. $\cot {135}^{\circ }$
• B. $\cot {270}^{\circ }$
• C. $\cot {182}^{\circ }$
• D. $\cot {178}^{\circ }$
• E. $\cot {45}^{\circ }$

Answer 1

Given: $\cot {45}^{\circ };\cot {270}^{\circ };\cot {178}^{\circ };\cot {182}^{\circ };\cot {135}^{\circ }$
Let's plot all these points onto the graph of $\cot x:$


Thus, from the graph we can arrange the given values of $\cot x:$

$\cot {178}^{\circ };\cot {135}^{\circ };\cot {270}^{\circ };\cot {45}^{\circ };\cot {182}^{\circ }$