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

The value of arcsin(1)-arcsin(-1) is pi

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arcsin(1)-arcsin(-1)

arcsin (1) - arcsin (- 1)

π

Decimal Notation

180

Solution steps

arcsin (1) - arcsin (- 1)

Use the following property:

arcsin (- x) = - arcsin (x)

arcsin (- 1) = - arcsin (1)

= arcsin (1) - (- arcsin (1))

Simplify

= 2 arcsin (1)

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}

= 2 \cdot \frac{π}{2}

Simplify

2 \cdot \frac{π}{2} : π

2 \cdot \frac{π}{2}

Multiply fractions:

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

= \frac{π 2}{2}

Cancel the common factor:

2

= π

= π

(sin (1))^{2}

15 csc (2 4^{\circ})

4 sin (25 0^{\circ})

cos (\frac{5}{12} π)

sin (3 0^{\circ}) \cdot 3

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