What is the value of arcsin(1/2)+arcsin((sqrt(3))/2) ?

The value of arcsin(1/2)+arcsin((sqrt(3))/2) is pi/2

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arcsin(1/2)+arcsin((sqrt(3))/2)

arcsin (\frac{1}{2}) + arcsin (\frac{3}{2})

\frac{π}{2}

Solution steps

arcsin (\frac{1}{2}) + arcsin (\frac{3}{2})

Use the following trivial identity:

arcsin (\frac{1}{2}) = \frac{π}{6}

Use the following trivial identity:

arcsin (\frac{3}{2}) = \frac{π}{3}

= \frac{π}{6} + \frac{π}{3}

Simplify

\frac{π}{6} + \frac{π}{3} : \frac{π}{2}

= \frac{π}{2}

csc (arccos (\frac{21}{7}))

cos (2 \frac{3 π}{4})

- ln ∣ cos (0) ∣

tan (- \frac{7 π}{2})

1 + cos (\frac{3 π}{2})

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