Is 5cos^2(x)-5sin^2(x)=10cos^2(x)-5 ?

The answer to whether 5cos^2(x)-5sin^2(x)=10cos^2(x)-5 is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove 5cos^2(x)-5sin^2(x)=10cos^2(x)-5

prove

5 cos^{2} (x) - 5 sin^{2} (x) = 10 cos^{2} (x) - 5

True

Solution steps

5 cos^{2} (x) - 5 sin^{2} (x) = 10 cos^{2} (x) - 5

Manipulating left side

5 cos^{2} (x) - 5 sin^{2} (x)

Rewrite using trig identities

= 10 cos^{2} (x) - 5

We showed that the two sides could take the same form

\Rightarrow True

sin (a) tan (a) + cos (a) = sec (a)

sin (x) (sec (x) - csc (x)) = tan (x) - 1

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

sec^{2} (x) csc^{2} (x) = csc^{2} (x) + sec^{2} (x)

cot (π - θ) = - cot (θ)

Is 5cos^2(x)-5sin^2(x)=10cos^2(x)-5 ?
The answer to whether 5cos^2(x)-5sin^2(x)=10cos^2(x)-5 is True