Is (cot^2(x))/(cos(x))=cot(x)*csc(x) ?

The answer to whether (cot^2(x))/(cos(x))=cot(x)*csc(x) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove (cot^2(x))/(cos(x))=cot(x)*csc(x)

prove

\frac{cot ^{2} ( x )}{cos ( x )} = cot (x) \cdot csc (x)

True

Solution steps

\frac{cot ^{2} ( x )}{cos ( x )} = cot (x) csc (x)

Manipulating left side

\frac{cot ^{2} ( x )}{cos ( x )}

Express with sin, cos

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

Manipulating right side

cot (x) csc (x)

Express with sin, cos

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

We showed that the two sides could take the same form

\Rightarrow True

1 - tan (x) = \frac{cos ( x ) - sin ( x )}{cos ( x )}

sin (2 t + π) = sin (2 t) cos (π) + cos (2 t) sin (π)

\frac{tan ( x ) - 1}{sec ( x )} = sin (x) - cos (x)

cot^{2} (α) = cos^{2} (α) + (cot (α) \cdot cos (α))^{2}

\frac{1}{tan ( α )} \cdot \frac{1}{cos ( α )} = \frac{1}{sin ( α )}

Is (cot^2(x))/(cos(x))=cot(x)*csc(x) ?
The answer to whether (cot^2(x))/(cos(x))=cot(x)*csc(x) is True