Evaluate sin(30)^2

Problem

sin^2(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 sin^2(30^∘) means (sin(30^∘))^2

sin^2(30^∘)=(1/2)^2

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

(1/2)^2=1^2/2^2

4. Simplify the resulting fraction.

1^2/2^2=1/4

Final Answer

sin^2(30^∘)=1/4

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