First slide

Trigonometric equations

Question

The number of solutions of the equation $|\cos x| = [x]$ is (where [.] denotes the greatest integer function)

Moderate

A

0
B

1
C

2
D

3

Solution

The graphs of $y = |\cos x|$ and $y = [x]$ do not intersect
$\Rightarrow$ $|\cos x| = [x]$ has no solution

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