What is csc^3(x)-csc^2(x)-csc(x)+1 ?

The solution to csc^3(x)-csc^2(x)-csc(x)+1 is csc^3(x)-cot^2(x)-csc(x)

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simplify csc^3(x)-csc^2(x)-csc(x)+1

simplify

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

csc^{3} (x) - cot^{2} (x) - csc (x)

Solution steps

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

Use the Pythagorean identity:

csc^{2} (x) = 1 + cot^{2} (x)

csc^{2} (x) - 1 = cot^{2} (x)

= csc^{3} (x) - cot^{2} (x) - csc (x)

\frac{2 y}{y - 3} \cdot \frac{4 y - 12}{2 y + 6}

\frac{23}{8}

\frac{5 x}{x - 6} + \frac{1}{x - 6}

- \frac{11}{42} - \frac{2}{3}

\frac{309600000}{6054900000}

What is csc^3(x)-csc^2(x)-csc(x)+1 ?
The solution to csc^3(x)-csc^2(x)-csc(x)+1 is csc^3(x)-cot^2(x)-csc(x)