What is (((-sin(x))-((cos(x))/x)))/(cos^2(x)) ?

The solution to (((-sin(x))-((cos(x))/x)))/(cos^2(x)) is sec^2(x)(-(cos(x))/x-sin(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (((-sin(x))-((cos(x))/x)))/(cos^2(x))

simplify

\frac{( ( - sin ( x ) ) - ( \frac{c o s ( x )}{x} ) )}{cos ^{2} ( x )}

sec^{2} (x) (- \frac{cos ( x )}{x} - sin (x))

Solution steps

\frac{( - sin ( x ) ) - ( \frac{c o s ( x )}{x} )}{cos ^{2} ( x )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= sec^{2} (x) (- \frac{cos ( x )}{x} - sin (x))

- \frac{56}{9} y - \frac{5}{6}

\frac{5 x}{3 + ( x - \frac{1}{2} ) - 2 x}

(x y^{- 1}) x^{- 3} y^{0}

\frac{1}{4} x + \frac{2}{5} x

x^{2} + 4 y - y^{2} - 4 x

What is (((-sin(x))-((cos(x))/x)))/(cos^2(x)) ?
The solution to (((-sin(x))-((cos(x))/x)))/(cos^2(x)) is sec^2(x)(-(cos(x))/x-sin(x))