Is (cos(θ^2))(1/(cos(θ^2)))=1 ?

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

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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

= 1

We showed that the two sides could take the same form

\Rightarrow True

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

tan (x) + 1 = 1

cos (4 θ) + 4 cos (2 θ) + 3 = 8 sin^{4} (θ)

2 \cdot sin (x) = sin (2 x)

cot (\frac{π}{2} - θ) = \frac{sin ( θ )}{cos ( θ )}

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