Is (1-sin^2(θ))/(cos^2(θ))=1 ?

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

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prove (1-sin^2(θ))/(cos^2(θ))=1

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= 1

We showed that the two sides could take the same form

\Rightarrow True

1 = csc^{2} (z) - cot^{2} (z)

sin (- x) + cos (- x) = cos (x) - sin (x)

sin (x) + csc (x) cos^{(2)} (x) = csc (x)

sin (x) = 2 sin (\frac{x}{2}) cos (\frac{x}{2})

\frac{cos ( x )}{sec ( x ) - tan ( x )} = 1 - sin (x)

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