What is the value of cot(arcsin(-(sqrt(3))/6)) ?

The value of cot(arcsin(-(sqrt(3))/6)) is -sqrt(11)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot(arcsin(-(sqrt(3))/6))

cot (arcsin (- \frac{3}{6}))

- 11

Decimal Notation

- 3.31662 \dots

Solution steps

cot (arcsin (- \frac{3}{6}))

Rewrite using trig identities:

cot (arcsin (- \frac{3}{6})) = \frac{1 - ( - \frac{3}{6} ) ^{2}}{( - \frac{3}{6} )}

Use the following identity:

cot (arcsin (x)) = \frac{1 - x ^{2}}{x}

= \frac{1 - ( - \frac{3}{6} ) ^{2}}{( - \frac{3}{6} )}

= \frac{1 - ( - \frac{3}{6} ) ^{2}}{- \frac{3}{6}}

Simplify

= - 11

cos (\frac{5}{8})

\frac{tan ( 8 7 ^{\circ} ) + tan ( 3 3 ^{\circ} )}{1 - tan ( 8 7 ^{\circ} ) tan ( 3 3 ^{\circ} )}

cos (21 6^{\circ})

10 \cdot sin (2 0^{\circ})

4 sin (1 0^{\circ})

What is the value of cot(arcsin(-(sqrt(3))/6)) ?
The value of cot(arcsin(-(sqrt(3))/6)) is -sqrt(11)