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Popular >

simplify (2sin(x)cos(x))^2

Solution

simplify

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

Solution

4 sin^{2} (x) cos^{2} (x)

Solution steps

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

Apply exponent rule:

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

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

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

2^{2} = 4

= 4 sin^{2} (x) cos^{2} (x)

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Frequently Asked Questions (FAQ)

What is (2sin(x)cos(x))^2 ?
The solution to (2sin(x)cos(x))^2 is 4sin^2(x)cos^2(x)