First slide

Trigonometric equations

Question

Number of solution of the equation $\sin x = [x]$ (Where [.] denotes the greatest integer function) is

Moderate

A

1
B

2
C

0
D

infinite

Solution

$y = \sin x = [x]$ from the graph there are two solutions, $x = 0$ and $x = \frac{π}{2}$

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