What is the value of arcsin(1/2)-arcsin(0) ?

The value of arcsin(1/2)-arcsin(0) is pi/6

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arcsin(1/2)-arcsin(0)

arcsin (\frac{1}{2}) - arcsin (0)

\frac{π}{6}

Decimal Notation

30

Solution steps

arcsin (\frac{1}{2}) - arcsin (0)

Use the following trivial identity:

arcsin (\frac{1}{2}) = \frac{π}{6}

arcsin (\frac{1}{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}{6}

Use the following trivial identity:

arcsin (0) = 0

arcsin (0)

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}

= 0

= \frac{π}{6} - 0

Simplify

= \frac{π}{6}

sec (- 42 0^{\circ})

arccos (\frac{7}{4})

cos (138 0^{\circ})

arctan (- \frac{3}{3})

\frac{1}{cos ^{2} ( 4 5 ^{\circ} )}

What is the value of arcsin(1/2)-arcsin(0) ?
The value of arcsin(1/2)-arcsin(0) is pi/6