What is the value of cot(arcsin(-8/9)) ?

The value of cot(arcsin(-8/9)) is -(sqrt(17))/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot(arcsin(-8/9))

cot (arcsin (- \frac{8}{9}))

- \frac{17}{8}

Decimal Notation

- 0.51538 \dots

Solution steps

cot (arcsin (- \frac{8}{9}))

Rewrite using trig identities:

cot (arcsin (- \frac{8}{9})) = \frac{1 - ( - \frac{8}{9} ) ^{2}}{( - \frac{8}{9} )}

Use the following identity:

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

= \frac{1 - ( - \frac{8}{9} ) ^{2}}{( - \frac{8}{9} )}

= \frac{1 - ( - \frac{8}{9} ) ^{2}}{- \frac{8}{9}}

Simplify

= - \frac{17}{8}

tan (arccos (0.7))

arctan (\frac{6.6}{10})

35 cos (6 0^{\circ})

tan (\frac{19 π}{2})

cos (6 0^{\circ}) cos (3 0^{\circ}) - sin (6 0^{\circ}) sin (3 0^{\circ})

What is the value of cot(arcsin(-8/9)) ?
The value of cot(arcsin(-8/9)) is -(sqrt(17))/8