What is tan(x)cos^2(x)-cot(x)sin^2(x) ?

The solution to tan(x)cos^2(x)-cot(x)sin^2(x) is 0

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simplify tan(x)cos^2(x)-cot(x)sin^2(x)

simplify

tan (x) cos^{2} (x) - cot (x) sin^{2} (x)

0

Solution steps

tan (x) cos^{2} (x) - cot (x) sin^{2} (x)

Use the basic trigonometric identity:

tan (x) = \frac{sin ( x )}{cos ( x )}

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

Simplify

cos^{2} (x) \frac{sin ( x )}{cos ( x )} : sin (x) cos (x)

= cos (x) sin (x) - sin^{2} (x) cot (x)

Use the basic trigonometric identity:

cot (x) = \frac{cos ( x )}{sin ( x )}

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

Simplify

\frac{cos ( x )}{sin ( x )} sin^{2} (x) : cos (x) sin (x)

= cos (x) sin (x) - cos (x) sin (x)

Add similar elements:

cos (x) sin (x) - cos (x) sin (x) = 0

= 0

- 6 + (- 8)

\frac{14 x ^{2} - 12 + 22 x}{7 x - 3}

\frac{- 2}{0}

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

16 + 10 x^{5}

What is tan(x)cos^2(x)-cot(x)sin^2(x) ?
The solution to tan(x)cos^2(x)-cot(x)sin^2(x) is 0