Simplify (cos(t)^2)/(sin(t)^2+cos(t)^2)

$\frac{\cos^{2} (t)}{\sin^{2} (t) + \cos^{2} (t)}$

Apply pythagorean identity.

$\frac{\cos^{2} (t)}{1}$

Divide $\cos^{2} (t)$ by $1$ .

$\cos^{2} (t)$

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