Define trigonometric ratios for acute angles using right-triangle similarity.
Find an acute angle from a special trigonometric ratio
Problem
Find the acute angle that satisfies this trigonometric equation: \(\sin(\theta)=0.5\)
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What this problem is really about
Inverse sine turns a ratio into an angle, with the stated acute interval removing other possibilities. We’ll rewrite the decimal as an exact fraction, recognize its special-triangle relationship, apply inverse sine within the allowed domain, and substitute the angle back into the equation.
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