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Popular >

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

Solution

simplify

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

Solution

4 csc^{2} (2 x)

Solution steps

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

Simplify

tan (x) + cot (x) : 2 csc (2 x)

= (2 csc (2 x))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 csc (2 x))^{2} = 2^{2} csc^{2} (2 x)

= 2^{2} csc^{2} (2 x)

2^{2} = 4

= 4 csc^{2} (2 x)

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Frequently Asked Questions (FAQ)

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