Question

Draw the curve $y=\left[sinx\right]$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We will start $y=sinx$

$\left[sinx\right]$ can be -1, 0 or 1

Between 0 and $\frac{\pi }{2},\left[sinx\right]=0$

Similarly, if $xϵ[-\pi ,0],\left[sinx\right]=-1$

So the graph of [sin x] will look like

Here, angles are given in degrees in graph

We can use the following steps to get [f(x)] from f(x).

(1) Mark the intervals of unit length on y-axis

(2) Divid the graph into these intervals and mark the corresponding intervals on x-axis.

(3) Draw the graph for each interval.