What is (tan(x)+cot(x))sin(2x) ?

The solution to (tan(x)+cot(x))sin(2x) is 2

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simplify (tan(x)+cot(x))sin(2x)

simplify

(tan (x) + cot (x)) sin (2 x)

2

Solution steps

(tan (x) + cot (x)) sin (2 x)

Express with sin, cos

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

Rewrite using trig identities

= 2

20 \cdot 19 \cdot 18

(5 x - 3) (2 x - 5) (2 x - 3)

t t

- 3 (- 7)

(x^{2} - 9) (x + 3)