Find the Exact Value sin(pi/6)^2

Problem

sin(π/6)

Solution

1. Identify the reference angle value for sin(π/6) using the unit circle or special right triangles.

sin(π/6)=1/2

2. Substitute the value into the expression, noting that sin(π/6) is equivalent to (sin(π/6))2

(1/2)2

3. Evaluate the square by squaring both the numerator and the denominator.

1/2=1/4

Final Answer

sin(π/6)=1/4

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