Is sin(x)cos^2(x)+sin^3(x)=sin(x) ?

The answer to whether sin(x)cos^2(x)+sin^3(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 sin(x)cos^2(x)+sin^3(x)=sin(x)

prove

sin (x) cos^{2} (x) + sin^{3} (x) = sin (x)

True

Solution steps

sin (x) cos^{2} (x) + sin^{3} (x) = sin (x)

Manipulating left side

sin (x) cos^{2} (x) + sin^{3} (x)

Rewrite using trig identities

= sin (x)

We showed that the two sides could take the same form

\Rightarrow True

\frac{csc ( x ) + sec ( x )}{tan ( x ) + 1} = csc (x)

cos (\frac{π}{3}) = \frac{1}{2}

sec (- x) = sec (x)

cos (\frac{π}{3} + x) + cos (\frac{π}{3} - x) = cos (x)

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

Is sin(x)cos^2(x)+sin^3(x)=sin(x) ?
The answer to whether sin(x)cos^2(x)+sin^3(x)=sin(x) is True