Is ((1-sin^2(x)))/(cos(x))=cos(x) ?

The answer to whether ((1-sin^2(x)))/(cos(x))=cos(x) is True

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prove ((1-sin^2(x)))/(cos(x))=cos(x)

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= cos (x)

We showed that the two sides could take the same form

\Rightarrow True

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

cos (4 A) = 8 cos^{4} (A) - 8 cos^{2} (A) + 1

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

tan (θ) sin (θ) cos (θ) = sin^{2} (θ)

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

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