What is sin(arctan(t/3)) ?

The solution to sin(arctan(t/3)) is (tsqrt(9+t^2))/(9+t^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(arctan(t/3))

simplify

sin (arctan (\frac{t}{3}))

\frac{t 9 + t ^{2}}{9 + t ^{2}}

Solution steps

sin (arctan (\frac{t}{3}))

Use the following identity:

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

= \frac{( \frac{t}{3} ) 1 + ( \frac{t}{3} ) ^{2}}{1 + ( \frac{t}{3} ) ^{2}}

Simplify

= \frac{t 9 + t ^{2}}{9 + t ^{2}}

a r tan (\frac{- 41.42}{36.07})

1 + tan^{2} (c)

8 cos (x + 4 5^{\circ})

(- i) [sin ((4 i + 3) (i y + x) + 4 i + 3)]

(π + x) + cos (π - x)

What is sin(arctan(t/3)) ?
The solution to sin(arctan(t/3)) is (tsqrt(9+t^2))/(9+t^2)