What is 4cot^3(x)+4cot^2(x)+4cot(x)+4 ?

The solution to 4cot^3(x)+4cot^2(x)+4cot(x)+4 is 4cot^3(x)+4csc^2(x)+4cot(x)

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simplify 4cot^3(x)+4cot^2(x)+4cot(x)+4

simplify

4 cot^{3} (x) + 4 cot^{2} (x) + 4 cot (x) + 4

4 cot^{3} (x) + 4 csc^{2} (x) + 4 cot (x)

Solution steps

4 cot^{3} (x) + 4 cot^{2} (x) + 4 cot (x) + 4

Use the Pythagorean identity:

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

= 4 (cot (x) + cot^{3} (x) + csc^{2} (x))

Factor

4 cot^{3} (x) + 4 cot^{2} (x) + 4 cot (x) + 4 : 4 (cot^{3} (x) + cot^{2} (x) + cot (x) + 1)

= 4 (cot^{3} (x) + csc^{2} (x) + cot (x))

Apply the distributive law:

m (a + b + c) = ma + mb + m c

4 (cot^{3} (x) + csc^{2} (x) + cot (x)) = 4 cot^{3} (x) + 4 csc^{2} (x) + 4 cot (x)

= 4 cot^{3} (x) + 4 csc^{2} (x) + 4 cot (x)

(0.15 - x)^{2}

3 x^{2} y^{4} z x^{3} y^{- 3} z^{2}

\frac{\frac{( x ^{2} - 1 )}{( x + 2 )}}{( x + 1 )}

(- 1.3 p + 6.2) (2.6)

3 p^{\frac{1}{2}} \cdot p^{3}

What is 4cot^3(x)+4cot^2(x)+4cot(x)+4 ?
The solution to 4cot^3(x)+4cot^2(x)+4cot(x)+4 is 4cot^3(x)+4csc^2(x)+4cot(x)