Question

Sort the following values of $\text{cosec}x$ in descending order.

• A. $\mathrm{cosec}350°$
• B. $\mathrm{cosec}60°$
• C. $\mathrm{cosec}270°$
• D. $\mathrm{cosec}150°$
• E. $\mathrm{cosec}175°$

Answer 1

we have the corresponding T ratios as:
$\text{cosec}{60}^{\circ };\text{cosec}{150}^{\circ };\text{cosec}{270}^{\circ }\text{cosec}{175}^{\circ };\text{cosec}{350}^{\circ }$

Now, let's use the graph of $\text{cosec}x$ to find the order of the give functions.


As clear from the graph, we can order the ratios as:
$\text{cosec}{175}^{\circ };\text{cosec}{150}^{\circ };\text{cosec}{60}^{\circ };\text{cosec}{270}^{\circ };\text{cosec}{350}^{\circ }$