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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= cos (b)

We showed that the two sides could take the same form

\Rightarrow True

\frac{1 + csc ( θ )}{cot ( θ ) + cos ( θ )} = sec (θ)

cos (3 θ) = cos (θ)

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

tan^{2} (x) \cdot cos^{2} (x) = 1 - cos^{2} (x)

sin^{2} (A) - sin^{2} (A) cos^{2} (A) = sin^{4} (A)

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