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

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

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

simplify

\frac{cos ( x ) tan ( x )}{sin ( x )} - cos^{2} (x)

sin^{2} (x)

Solution steps

\frac{cos ( x ) tan ( x )}{sin ( x )} - cos^{2} (x)

Cancel

\frac{cos ( x ) tan ( x )}{sin ( x )} : 1

= 1 - cos^{2} (x)

Use the Pythagorean identity:

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

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

= sin^{2} (x)

\frac{( x + 3 ) ( x - 8 )}{( x + 3 ) ( x + 8 )}

\frac{csc ( x )}{cot ( x )}

(9 x^{4} + 4 x^{4})^{3}

\frac{10 - 3}{10 + 3}

(2 x - 9) (x + 6)

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