What is the value of cot(arcsin(2/3)) ?

The value of cot(arcsin(2/3)) is (sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot(arcsin(2/3))

cot (arcsin (\frac{2}{3}))

\frac{5}{2}

Decimal Notation

1.11803 \dots

Solution steps

cot (arcsin (\frac{2}{3}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{5}{2}

3.5 cos (4 5^{\circ})

arcsin (\frac{1}{7})

arccos (sin (- \frac{4 π}{3}))

sin (2 arctan (\frac{4}{3}))

sin (21 5^{\circ})

What is the value of cot(arcsin(2/3)) ?
The value of cot(arcsin(2/3)) is (sqrt(5))/2