Is sin^2(x)+4cos^2(x)=1+3cos^2(x) ?

The answer to whether sin^2(x)+4cos^2(x)=1+3cos^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 sin^2(x)+4cos^2(x)=1+3cos^2(x)

prove

sin^{2} (x) + 4 cos^{2} (x) = 1 + 3 cos^{2} (x)

True

Solution steps

sin^{2} (x) + 4 cos^{2} (x) = 1 + 3 cos^{2} (x)

Manipulating left side

sin^{2} (x) + 4 cos^{2} (x)

Rewrite using trig identities

= 1 + 3 cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

sec (a) - \frac{cos ( a )}{1 + sin ( a )} = tan (a)

\frac{1}{cos ( x ) csc ( x )} = tan (x)

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

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

\frac{sin ^{2} ( t )}{tan ^{2} ( t )} = cos^{2} (t)

Is sin^2(x)+4cos^2(x)=1+3cos^2(x) ?
The answer to whether sin^2(x)+4cos^2(x)=1+3cos^2(x) is True