Is (cos(θ^2))(1/(cos(θ^2)))=1 ?

The answer to whether (cos(θ^2))(1/(cos(θ^2)))=1 is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

prove (cos(θ^2))(1/(cos(θ^2)))=1

prove

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

True

Solution steps

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

Manipulating left side

cos (θ^{2}) \frac{1}{cos ( θ ^{2} )}

Simplify

cos (θ^{2}) \frac{1}{cos ( θ ^{2} )} : 1

cos (θ^{2}) \frac{1}{cos ( θ ^{2} )}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{cos ( θ ^{2} )}{cos ( θ ^{2} )}

Cancel the common factor:

cos (θ^{2})

= 1

= 1

We showed that the two sides could take the same form

\Rightarrow True

Is (cos(θ^2))(1/(cos(θ^2)))=1 ?
The answer to whether (cos(θ^2))(1/(cos(θ^2)))=1 is True