Is cot(x)(sec(x)-cos(x))=sin(x) ?

The answer to whether cot(x)(sec(x)-cos(x))=sin(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(x)(sec(x)-cos(x))=sin(x)

prove

cot (x) (sec (x) - cos (x)) = sin (x)

True

Solution steps

cot (x) (sec (x) - cos (x)) = sin (x)

Manipulating left side

cot (x) (sec (x) - cos (x))

Express with sin, cos

= \frac{1 - cos ^{2} ( x )}{sin ( x )}

Rewrite using trig identities

= sin (x)

We showed that the two sides could take the same form

\Rightarrow True

tan^{2} (θ) = \frac{1 - cos ( 2 θ )}{1 + cos ( 2 θ )}

cos (x + y) cos (x - y) = cos^{2} (x) - sin^{2} (x)

cos (2 θ) csc^{2} (θ) = csc^{2} (θ) - 2

cos (x) - cos (x) = 0

sec (t) - sin (t) tan (t) = cos (t)

Is cot(x)(sec(x)-cos(x))=sin(x) ?
The answer to whether cot(x)(sec(x)-cos(x))=sin(x) is True