Suppose sin2x = (1)/(2). Find all solutions 0 ≤ x ≤ 2π. Give exact values in radians, and type “

Name: Suppose sin2x = (1)/(2). Find all solutions 0 ≤ x ≤ 2π. Give exact values in radians, and type “pi” for π. x = (If there is more than one answer, enter the answers separated by commas)
Uploaded: 2023-12-03T04:44:23-08:00
Duration: 1 min 42 s
Channel: Breanna Ollech
Description: Suppose sin2x = (1)/(2). Find all solutions 0 ≤ x ≤ 2π. Give exact values in radians, and type “pi” for π. x = (If there is more than one answer, enter the answers separated by commas)

Question

Breanna Ollech · Accepted Answer

Step 1: Use the double angle identity for sine: sin(2x) = 2sin(x)cos(x).

Question

Suppose \sin 2x = \frac{1}{2}. Find all solutions $0 \le x \le 2\pi$. Give exact values in radians, and type \text{``pi''} for $\pi$. $x = $ (If there is more than one answer, enter the answers separated by commas)

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