What is the value of sin(2arctan(2)) ?

The value of sin(2arctan(2)) is 4/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(2arctan(2))

sin (2 arctan (2))

\frac{4}{5}

Solution steps

sin (2 arctan (2))

Rewrite using trig identities:

2 sin (arctan (2)) cos (arctan (2))

= 2 sin (arctan (2)) cos (arctan (2))

Rewrite using trig identities:

sin (arctan (2)) = \frac{2 5}{5}

Rewrite using trig identities:

cos (arctan (2)) = \frac{5}{5}

= 2 \cdot \frac{2 5}{5} \cdot \frac{5}{5}

Simplify

2 \cdot \frac{2 5}{5} \cdot \frac{5}{5} : \frac{4}{5}

= \frac{4}{5}

8 π - 12 arctan (2) - 8

\frac{cot ( π )}{4}

sin (0) + sin (1)

sin (\frac{π}{2} - π)

12 sin (2 0^{\circ})