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Popular >

arcsin(1/2)+(1/2)/(sqrt(1-(1/2)^2))

Solution

arcsin (\frac{1}{2}) + \frac{\frac{1}{2}}{1 - ( \frac{1}{2} ) ^{2}}

Solution

\frac{π}{6} + \frac{3}{3}

+1

Solution steps

arcsin (\frac{1}{2}) + \frac{\frac{1}{2}}{1 - ( \frac{1}{2} ) ^{2}}

Use the following trivial identity:

arcsin (\frac{1}{2}) = \frac{π}{6}

= \frac{π}{6} + \frac{\frac{1}{2}}{1 - ( \frac{1}{2} ) ^{2}}

Simplify

\frac{π}{6} + \frac{\frac{1}{2}}{1 - ( \frac{1}{2} ) ^{2}} : \frac{π}{6} + \frac{3}{3}

= \frac{π}{6} + \frac{3}{3}

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Frequently Asked Questions (FAQ)

What is the value of arcsin(1/2)+(1/2)/(sqrt(1-(1/2)^2)) ?
The value of arcsin(1/2)+(1/2)/(sqrt(1-(1/2)^2)) is pi/6+(sqrt(3))/3