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Step-by-step Solution

Simplify the trigonometric expression $\left(1-\cos\left(2x\right)\right)^2\left(1+\cos\left(2x\right)\right)$

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Step-by-step explanation

Problem to solve:

$\left(1-\cos\left(2x\right)\right)^2\left(1+\cos\left(2x\right)\right)$

Learn how to solve simplify trigonometric expressions problems step by step online.

$\left(1-\cos\left(2x\right)\right)^2+\left(1-\cos\left(2x\right)\right)^2\cos\left(2x\right)$

Unlock this full step-by-step solution!

Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (1-cos(2*x))^2(1+cos(2*x)). Multiplying polynomials \left(1-\cos\left(2x\right)\right)^2 and 1+\cos\left(2x\right). Expand \left(1-\cos\left(2x\right)\right)^2. Expand \left(1-\cos\left(2x\right)\right)^2. Multiplying polynomials \cos\left(2x\right) and 1-2\cos\left(2x\right)+\left(-\cos\left(2x\right)\right)^2.

Answer

$-\left(\cos\left(x\right)^2-\sin\left(x\right)^2\right)+4\sin\left(x\right)^2\cos\left(x\right)^2+\cos\left(2x\right)^{3}$

Problem Analysis

$\left(1-\cos\left(2x\right)\right)^2\left(1+\cos\left(2x\right)\right)$

Time to solve it:

~ 1.31 seconds