What is sin(arccot(7/x)) ?

The solution to sin(arccot(7/x)) is (xsqrt(x^2+49))/(x^2+49)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(arccot(7/x))

simplify

sin (arccot (\frac{7}{x}))

\frac{x x ^{2} + 49}{x ^{2} + 49}

Solution steps

sin (arccot (\frac{7}{x}))

Use the following identity:

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

= \frac{1 + ( \frac{7}{x} ) ^{2}}{1 + ( \frac{7}{x} ) ^{2}}

Simplify

= \frac{x x ^{2} + 49}{x ^{2} + 49}

2 sin (2 x - \frac{π}{4}) + 3

sin (\frac{20 π}{2} + θ)

4 - (2 cos (θ))^{2}

- cos (π + a)

cos (θ + 2 π)

What is sin(arccot(7/x)) ?
The solution to sin(arccot(7/x)) is (xsqrt(x^2+49))/(x^2+49)