What is cot^2(x)(1+tan^2(x)) ?

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

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simplify cot^2(x)(1+tan^2(x))

simplify

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

csc^{2} (x)

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= csc^{2} (x)

(5 x - 2) (2 y - 5)

\frac{2 a + 2}{a ^{2} - 1}

\frac{1 + i}{3 + i}

\frac{1}{12} \cdot 2

(x^{3} + 6 x^{2} - 4 x + 7) - (3 x^{2} + 2 x - 4)