Is 3cos^2(x)-3sin^2(x)=3-6sin^2(x) ?

The answer to whether 3cos^2(x)-3sin^2(x)=3-6sin^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 3cos^2(x)-3sin^2(x)=3-6sin^2(x)

prove

3 cos^{2} (x) - 3 sin^{2} (x) = 3 - 6 sin^{2} (x)

True

Solution steps

3 cos^{2} (x) - 3 sin^{2} (x) = 3 - 6 sin^{2} (x)

Manipulating left side

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

Rewrite using trig identities

= 3 - 6 sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

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

\frac{1}{sec ( θ ) + tan ( θ )} = sec (θ) - tan (θ)

sec^{4} (x) = \frac{1}{cos ^{4} ( x )}

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

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

Is 3cos^2(x)-3sin^2(x)=3-6sin^2(x) ?
The answer to whether 3cos^2(x)-3sin^2(x)=3-6sin^2(x) is True