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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(arcsin((-12)/(13)))

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

- \frac{12}{5}

Decimal Notation

- 2.4

Solution steps

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

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= - \frac{12}{5}

sec (- 84 0^{\circ})

sec (arccos (- \frac{3}{5}))

sin (3 3^{\circ} + 4 2^{\circ})

6 sin (1 0^{\circ})

(cos (\frac{π}{4}) + i sin (\frac{π}{4}))^{100}

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