What is sin(arctan(-1/g)) ?

The solution to sin(arctan(-1/g)) is -(sqrt(g^2+1))/(g^2+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(arctan(-1/g))

simplify

sin (arctan (- \frac{1}{g}))

- \frac{g ^{2} + 1}{g ^{2} + 1}

Solution steps

sin (arctan (- \frac{1}{g}))

Use the following identity:

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

= \frac{( - \frac{1}{g} ) 1 + ( - \frac{1}{g} ) ^{2}}{1 + ( - \frac{1}{g} ) ^{2}}

Simplify

= - \frac{g ^{2} + 1}{g ^{2} + 1}

- 13 sin (2 π + x)

tan (- 1 (\frac{y}{x}))

sin (x - \frac{3 π}{4})

(1 - cos^{2} (x))

- sin (2 x - 5 x)

What is sin(arctan(-1/g)) ?
The solution to sin(arctan(-1/g)) is -(sqrt(g^2+1))/(g^2+1)