Find the value of the expression: ( e^{2cos^{-1}(frac{1}{2})} )

Question

Accepted Answer

Step:1 ：Step 1: We know that ( cos^{-1}(frac{1}{2}) = frac{pi}{3} ) from basic trigonometric values. So, we substitute this into the expression.Step:2 ：Step 2: Now the expression becomes ( e^{2 cdot frac{pi}{3}} )Step:3 ：Step 3: Simplify the exponent to get ( e^{frac{2pi}{3}} )

Answer

Step: 1 ：Step 1: We know that ( cos^{-1}(frac{1}{2}) = frac{pi}{3} ) from basic trigonometric values. So, we substitute this into the expression.Step: 2 ：Step 2: Now the expression becomes ( e^{2 cdot frac{pi}{3}} )Step: 3 ：Step 3: Simplify the exponent to get ( e^{frac{2pi}{3}} )

Find the value of the expression: $e^{2 \cos^{- 1} (\frac{1}{2})}$

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Find the value of the expression: $e^{2 \cos^{- 1} (\frac{1}{2})}$