Is tan(u)cot(u)-sin^2(u)=cos^2(u) ?

The answer to whether tan(u)cot(u)-sin^2(u)=cos^2(u) is True

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prove tan(u)cot(u)-sin^2(u)=cos^2(u)

prove

tan (u) cot (u) - sin^{2} (u) = cos^{2} (u)

True

Solution steps

tan (u) cot (u) - sin^{2} (u) = cos^{2} (u)

Manipulating left side

tan (u) cot (u) - sin^{2} (u)

Express with sin, cos

= 1 - sin^{2} (u)

Rewrite using trig identities

= cos^{2} (u)

We showed that the two sides could take the same form

\Rightarrow True

1 - 2 sin^{2} (2 x) = 8 cos^{4} (x) - 8 cos^{2} (x) + 1

sin (\frac{π}{4}) = \frac{2}{2}

\frac{sin ( x )}{cot ( x ) + csc ( x )} = 1 - cos (x)

tan (a) cos (a) = sin (a)

sin (x) (sec (x) + csc (x)) = tan (x) + 1

Is tan(u)cot(u)-sin^2(u)=cos^2(u) ?
The answer to whether tan(u)cot(u)-sin^2(u)=cos^2(u) is True