Evaluate sin(30)^2

Problem

sin2(30)

Solution

1. Identify the value of the trigonometric function for the given angle. The sine of 30 is a standard value.

sin(30)=1/2

2. Substitute the value into the expression. The notation sin2(30) means (sin(30))2

sin2(30)=(1/2)2

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

(1/2)2=1/2

4. Simplify the resulting fraction.

1/2=1/4

Final Answer

sin2(30)=1/4

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