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

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

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

prove

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

True

Solution steps

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

Manipulating right side

sin^{2} (x) sec (x)

Rewrite using trig identities

= (1 - cos^{2} (x)) sec (x)

We showed that the two sides could take the same form

\Rightarrow True

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

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

cos (6 x) = 1 - 2 sin^{2} (3 x)

1 = 1 + tan^{2} (x)

tan (x - 36 0^{\circ}) = tan (x)

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