Question 6

How many real value(s) of xx satisfy the equation ∣b∣=∣bsin⁡(4x)∣ |b| =|b \sin{\left(4x\right)}| where x∈[0,2π]x \in [0, 2\pi] and bb is not zero?

A. 1

B. 2

C. 4

D. 8

Solution

For this equation to be satisfied, sin⁡(4x)=±1 \sin{\left(4x\right)} = \pm 1.

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