Is 1-sec(x)cos^3(x)=sin^2(x) ?

The answer to whether 1-sec(x)cos^3(x)=sin^2(x) is True

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prove 1-sec(x)cos^3(x)=sin^2(x)

prove

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

True

Solution steps

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

Manipulating left side

1 - sec (x) cos^{3} (x)

Express with sin, cos

= 1 - cos^{2} (x)

Rewrite using trig identities

= sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

tan (3 π + θ) = tan (θ)

4 sin (- x) cos (- x) = - 2 sin (2 x)

1 - sin (θ) = cos^{2} (θ)

\frac{1}{sec ( a ) - tan ( a )} = sec (a) + tan (a)

sin (x) cos (x) = 1

Is 1-sec(x)cos^3(x)=sin^2(x) ?
The answer to whether 1-sec(x)cos^3(x)=sin^2(x) is True