What is the value of arcsin(1)-arcsin(-1/2) ?

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

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arcsin(1)-arcsin(-1/2)

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

\frac{2 π}{3}

Solution steps

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

Use the following trivial identity:

arcsin (1) = \frac{π}{2}

Rewrite using trig identities:

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

= \frac{π}{2} - (- \frac{π}{6})

Simplify

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

= \frac{2 π}{3}

arctan (\frac{3}{25})

2 sec (0) tan (0)

\frac{csc ( π )}{6}

1.5 (2 - cos (12 0^{\circ}))

520 cos (4 5^{\circ})

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