Question

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

• A. $\sin 60°$
• B. $\sin {0.25}^c$
• C. $\sin {360}^{\circ }$
• D. $\sin 4^c$
• E. $\sin 150°$

Answer 1

Here, we have $\sin {0.25}^c,\sin {60}^{\circ },\sin {150}^{\circ }\sin 4^c,\sin {360}^{\circ }$
We know some of the values of corresponding $\sin x$
But for the one's in radians, let's estimate them using a sine graph as shown:

From the diagram, we can clearly identify the approximate values of $\sin x$
In ascending order, we can write it as:
$\sin 4^c<\sin {360}^{\circ }<\sin {0.25}^c<\sin {150}^{\circ }<\sin {60}^{\circ }.$