Find the exact value of sine, start fraction, 4, pi, divided by, 3, end fractionsin 34π in simplest form with a rational denominator.
Question
Solution 1
The given angle is 4π/3.
Step 1: Convert the angle to a value between 0 and 2π.
4π/3 is already between 0 and 2π, so no conversion is necessary.
Step 2: Determine the quadrant of the angle.
4π/3 is in the third quadrant, where sine is negative.
Step 3: Find the reference angle.
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