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

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

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

simplify

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

1

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= 1

\frac{\frac{2}{\frac{3}{5}} + \frac{4}{\frac{6}{7}}}{\frac{1}{\frac{1}{5}} - \frac{1}{\frac{1}{3}}}

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

4 x^{2} + 12 + 9

\frac{a ^{\frac{2}{3}}}{b ^{\frac{1}{3}}} + \frac{b ^{\frac{2}{3}}}{a ^{\frac{1}{3}}}

32 + 42 - 2