What is the value of sin(2arctan(-12/5)) ?

The value of sin(2arctan(-12/5)) is -120/169

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(2arctan(-12/5))

sin (2 arctan (- \frac{12}{5}))

- \frac{120}{169}

Solution steps

sin (2 arctan (- \frac{12}{5}))

Rewrite using trig identities:

- 2 sin (arctan (\frac{12}{5})) cos (arctan (\frac{12}{5}))

= - 2 sin (arctan (\frac{12}{5})) cos (arctan (\frac{12}{5}))

Rewrite using trig identities:

sin (arctan (\frac{12}{5})) = \frac{12}{13}

Rewrite using trig identities:

cos (arctan (\frac{12}{5})) = \frac{5}{13}

= - 2 \cdot \frac{12}{13} \cdot \frac{5}{13}

Simplify

- 2 \cdot \frac{12}{13} \cdot \frac{5}{13} : - \frac{120}{169}

= - \frac{120}{169}

cos (\frac{6}{10})

tan (arcsec (\frac{5}{3}))

sin (2) (80)

\frac{18}{tan ( 1 7 ^{\circ} )}

5 \cdot cos (4 0^{\circ})

What is the value of sin(2arctan(-12/5)) ?
The value of sin(2arctan(-12/5)) is -120/169