Step 1: Understand what sin^(-1) means. It is the inverse sine function, which gives you the angle whose sine is a given value.
Step 2: We need to find the angle whose sine is √3/2.
Step 3: Recall the unit circle or the common angles in trigonometry. The sine of π/3 (or 60 degrees) is √3/2.
Step 4: Therefore, sin^(-1)(√3/2) is the angle π/3.
Inverse Trigonometric Functions – This concept involves understanding how to find angles corresponding to given sine values using the arcsine function.
Unit Circle – Knowledge of the unit circle is essential to determine the angle whose sine value is √3/2.
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