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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

prove

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

True

Solution steps

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

Use the Pythagorean identity:

cos^{2} (x) + sin^{2} (x) = 1

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

\Rightarrow True

tan (x) + cot (x) = 2 csc (2 x)

cos (x + \frac{π}{2}) = - sin (x)

csc^{2} (x) tan (x) - tan (x) = cot (x)

sin (\frac{π}{2} - x) = cos (x)

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