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

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

prove

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

True

Solution steps

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

Manipulating left side

cos (x + x)

Rewrite using trig identities

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

We showed that the two sides could take the same form

\Rightarrow True

\frac{sin ( x )}{3 sin ( 2 x )} = \frac{1}{2 cos ( x )}

sin (x) tan (x) = 2 sec (x)

(tan (a)) (cos (a)) = sin (a)

sin (a + 9 0^{\circ}) = cos (9 0^{\circ})

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

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