Is sin^2(csc^2(x)-1)=cos^2(x) ?

The answer to whether sin^2(csc^2(x)-1)=cos^2(x) is False

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sin^2(csc^2(x)-1)=cos^2(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

\Rightarrow False

sin^{2} (x) - sin^{4} (x) = 1 - 2 sin^{2} (x)

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

\frac{4 - cos ( 2 x )}{8} = sin^{2} (x) cos^{2} (x)

3 sin (x) = cos (x) cot (x)

1 = \frac{sec ( θ ) cot ( θ )}{csc ( θ )} - cot^{2} (θ)

Is sin^2(csc^2(x)-1)=cos^2(x) ?
The answer to whether sin^2(csc^2(x)-1)=cos^2(x) is False