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

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

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

prove

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

True

Solution steps

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

Manipulating left side

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

Express with sin, cos

= sin^{2} (x)

Rewrite using trig identities

= 1 - cos^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

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

2 csc (2 θ) cos (2 θ) = cot (θ) - tan (θ)

6 sin (x) cos (x) = 3 sin (2 x)

\frac{tan ^{2} ( θ )}{sec ( θ )} = sin (θ) tan (θ)

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

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