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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/2 arcsin(-1)

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

- \frac{π}{4}

Decimal Notation

- 45

Solution steps

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

Rewrite using trig identities:

arcsin (- 1) = - \frac{π}{2}

arcsin (- 1)

Use the following property:

arcsin (- x) = - arcsin (x)

arcsin (- 1) = - arcsin (1)

= - 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}

= - \frac{π}{2}

= \frac{1}{2} (- \frac{π}{2})

Simplify

\frac{1}{2} (- \frac{π}{2}) : - \frac{π}{4}

\frac{1}{2} (- \frac{π}{2})

Remove parentheses:

(- a) = - a

= - \frac{1}{2} \cdot \frac{π}{2}

Multiply fractions:

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

= - \frac{1 π}{2 \cdot 2}

Multiply:

1 π = π

= - \frac{π}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= - \frac{π}{4}

= - \frac{π}{4}

4 cos (2 \cdot \frac{π}{6})

tan^{2} (4 5^{\circ} - 1 6^{\circ})

sin (4 5^{\circ}) 12

- e^{c o s (0)} sin (0)

arctan (\frac{5.54}{9.8} + 0.2)