What is the value of cot(arcsin(-12/13)) ?

The value of cot(arcsin(-12/13)) is -5/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot(arcsin(-12/13))

cot (arcsin (- \frac{12}{13}))

- \frac{5}{12}

Decimal Notation

- 0.41666 \dots

Solution steps

cot (arcsin (- \frac{12}{13}))

Rewrite using trig identities:

cot (arcsin (- \frac{12}{13})) = \frac{1 - ( - \frac{12}{13} ) ^{2}}{( - \frac{12}{13} )}

Use the following identity:

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

= \frac{1 - ( - \frac{12}{13} ) ^{2}}{( - \frac{12}{13} )}

= \frac{1 - ( - \frac{12}{13} ) ^{2}}{- \frac{12}{13}}

Simplify

= - \frac{5}{12}

6 cos (4 5^{\circ}) + 3 sec (4 5^{\circ})

tan (arccos (- \frac{3}{2}) + π)

3 + 2 sin (\frac{π}{3})

cosh (0) - 1

2 sec^{2} (\frac{π}{2}) tan (\frac{π}{2})

What is the value of cot(arcsin(-12/13)) ?
The value of cot(arcsin(-12/13)) is -5/12