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

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

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expand (tan(2x)+cot(2x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

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

(x + 3) (x - 4)

- e^{3 x} (12 sin (2 x) - 5 cos (2 x))

(3 + j) (2 - j)

tan (x) (1 + cot^{3} (x)) + cot (x) (1 + tan^{3} (x)) + 2

\frac{6 x}{( x ^{2} + 1 ) ^{2}}

What is expand (tan(2x)+cot(2x))^2 ?
The solution to expand (tan(2x)+cot(2x))^2 is tan^2(2x)+2cot(2x)tan(2x)+cot^2(2x)