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Popular >

2arcsin((sqrt(3))/2)

Solution

2 arcsin (\frac{3}{2})

Solution

\frac{2 π}{3}

+1

Decimal Notation

120

Solution steps

2 arcsin (\frac{3}{2})

Use the following trivial identity:

arcsin (\frac{3}{2}) = \frac{π}{3}

arcsin (\frac{3}{2})

x 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 arcsin (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} arcsin (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ}

= \frac{π}{3}

= 2 \cdot \frac{π}{3}

Simplify

2 \cdot \frac{π}{3} : \frac{2 π}{3}

2 \cdot \frac{π}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{π 2}{3}

= \frac{2 π}{3}

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Frequently Asked Questions (FAQ)

What is the value of 2arcsin((sqrt(3))/2) ?
The value of 2arcsin((sqrt(3))/2) is (2pi)/3