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

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

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

simplify

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

csc (x)

Solution steps

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

Simplify

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

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

= \frac{1}{sin ( x )}

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= csc (x)

4 x^{5} - 29 x^{3} - 24 x^{2} + 7 x + 6

\frac{- 3 ^{0}}{( - 3 ) ^{2}}

\frac{1}{cot ^{2} ( x )}

y^{2} + 8 y

(9)^{2} + (- 27)^{2}