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

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

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

simplify

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

csc (x) - cot (x)

Solution steps

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

Rewrite using trig identities

= (1 - cos (x)) csc (x)

Expand

(1 - cos (x)) csc (x) : csc (x) - csc (x) cos (x)

= csc (x) - cos (x) csc (x)

Rewrite using trig identities

= csc (x) - cot (x)

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

\frac{( 100 ) ^{- 80} \cdot ( - 100 ) ^{60}}{1000000}

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

(- 3 x^{2} + 5 x - 2) - 2 (x^{2} - 2 x - 1)

\frac{cos ^{2} ( θ )}{1 - sin ( θ )}

What is (1-cos(x))/(sin(x)) ?
The solution to (1-cos(x))/(sin(x)) is csc(x)-cot(x)