What is (1-cos^2(x))/(sin(x)) ?

The solution to (1-cos^2(x))/(sin(x)) is sin(x)

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simplify (1-cos^2(x))/(sin(x))

simplify

\frac{1 - cos ^{2} ( x )}{sin ( x )}

sin (x)

Solution steps

\frac{1 - cos ^{2} ( x )}{sin ( x )}

Simplify

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

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

sin^{2} (x) = sin (x) sin (x)

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

Cancel the common factor:

sin (x)

= sin (x)

(x^{2} + 1) (x + 2)

16 r^{4} s^{5}

\frac{2 x}{x ^{2} - 1} - \frac{3}{x ^{2} + 5 x + 4}

- a \cdot a

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