Is 1/(csc(x))+1=sin(x)+1 ?

The answer to whether 1/(csc(x))+1=sin(x)+1 is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove 1/(csc(x))+1=sin(x)+1

prove

\frac{1}{csc ( x )} + 1 = sin (x) + 1

True

Solution steps

\frac{1}{csc ( x )} + 1 = sin (x) + 1

Manipulating left side

\frac{1}{csc ( x )} + 1

Express with sin, cos

= 1 + sin (x)

= sin (x) + 1

We showed that the two sides could take the same form

\Rightarrow True

25 sin^{2} (x) + 25 cos^{2} (x) = 25

cot (x) sin (x) sec (x) = 1

\frac{1}{1 - cos ( x )} - \frac{1}{1 + cos ( x )} = 2 cot (x) csc (x)

tan^{2} (x) - sec^{2} (x) = 1

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