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

The value of (arcsin(1))/2 is pi/4

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(arcsin(1))/2

\frac{arcsin ( 1 )}{2}

\frac{π}{4}

Decimal Notation

45

Solution steps

\frac{arcsin ( 1 )}{2}

Use the following trivial identity:

arcsin (1) = \frac{π}{2}

arcsin (1)

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}{2}

= \frac{\frac{π}{2}}{2}

Simplify

\frac{\frac{π}{2}}{2} : \frac{π}{4}

\frac{\frac{π}{2}}{2}

Apply the fraction rule:

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

= \frac{π}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{π}{4}

= \frac{π}{4}

arctan (\frac{4}{4 3})

arctan (2.4)

2 cos^{2} (\frac{π}{8}) - 1

csc (\frac{π}{12})

csc (- 33 0^{\circ})