Is sec^2(x)-sin^2(x)*sec^2(x)=1 ?

The answer to whether sec^2(x)-sin^2(x)*sec^2(x)=1 is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sec^2(x)-sin^2(x)*sec^2(x)=1

prove

sec^{2} (x) - sin^{2} (x) \cdot sec^{2} (x) = 1

True

Solution steps

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

Manipulating left side

sec^{2} (x) - sin^{2} (x) sec^{2} (x)

Express with sin, cos

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

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

\frac{( sin ^{2} ( θ ) )}{1 - cos ( θ )} = 1 + cos (θ)

\frac{( csc ( x ) )}{( cot ( x ) )} = sec (x)

9 sec^{2} (0) tan (0) = 12 tan (0)

cot (x) - sec (x) csc (x) cos (2 x) = tan (x)

tan (x) = \frac{3}{7} = cos (x)

Is sec^2(x)-sin^2(x)*sec^2(x)=1 ?
The answer to whether sec^2(x)-sin^2(x)*sec^2(x)=1 is True