What is sin(arctan(2t)) ?

The solution to sin(arctan(2t)) is (2tsqrt(1+4t^2))/(1+4t^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(arctan(2t))

simplify

sin (arctan (2 t))

\frac{2 t 1 + 4 t ^{2}}{1 + 4 t ^{2}}

Solution steps

sin (arctan (2 t))

Use the following identity:

sin (arctan (x)) = \frac{x 1 + x ^{2}}{1 + x ^{2}}

= \frac{2 t 1 + ( 2 t ) ^{2}}{1 + ( 2 t ) ^{2}}

Simplify

= \frac{2 t 1 + 4 t ^{2}}{1 + 4 t ^{2}}

8 t^{2} cos (3 t + 3 0^{\circ})

(cos (2 t - \frac{3 π}{4}))^{2}

sin (24 π + x)

csc (π + t)

cos^{2} (100 t + \frac{π}{3})

What is sin(arctan(2t)) ?
The solution to sin(arctan(2t)) is (2tsqrt(1+4t^2))/(1+4t^2)