First slide

Trigonometric equations

Question

Number of solutions of the equation $\sin (\frac{π x}{2 \sqrt{3}}) = x^{2} - 2 \sqrt{3} x + 4 is$

Moderate

A

0
B

1
C

2
D

4

Solution

$\sin \frac{π x}{2 \sqrt{3}} = (x - \sqrt{3})^{2} + 1 \Rightarrow x = \sqrt{3} .$

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