Is tan^3(x)=(sin^3(x))/(cos^3(x)) ?

The answer to whether tan^3(x)=(sin^3(x))/(cos^3(x)) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove tan^3(x)=(sin^3(x))/(cos^3(x))

prove

tan^{3} (x) = \frac{sin ^{3} ( x )}{cos ^{3} ( x )}

True

Solution steps

tan^{3} (x) = \frac{sin ^{3} ( x )}{cos ^{3} ( x )}

Manipulating left side

tan^{3} (x)

Express with sin, cos

= \frac{sin ^{3} ( x )}{cos ^{3} ( x )}

We showed that the two sides could take the same form

\Rightarrow True

cos (4 θ) = 1 - 8 sin^{2} (θ) cos^{2} (θ)

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

cos^{2} (θ) = sin^{2} (θ) - 1

\frac{sec ( θ )}{sec ( θ ) - 1} = \frac{1}{1 - cos ( θ )}

2 cos (θ) - \frac{cos ( 2 θ )}{cos ( θ )} = sec (θ)

Is tan^3(x)=(sin^3(x))/(cos^3(x)) ?
The answer to whether tan^3(x)=(sin^3(x))/(cos^3(x)) is True