Final Answer
Step-by-step Solution
Specify the solving method
A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$
Learn how to solve simplify trigonometric expressions problems step by step online.
$\left(1-2\cos\left(x\right)+\cos\left(x\right)^2\right)\left(\tan\left(x\right)^3-\sin\left(x\right)^3\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression (1-cos(x))^2(tan(x)^3-sin(x)^3). A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Multiply the single term \tan\left(x\right)^3-\sin\left(x\right)^3 by each term of the polynomial \left(1-2\cos\left(x\right)+\cos\left(x\right)^2\right). Multiply the single term -2\cos\left(x\right) by each term of the polynomial \left(\tan\left(x\right)^3-\sin\left(x\right)^3\right). Multiply the single term \cos\left(x\right)^2 by each term of the polynomial \left(\tan\left(x\right)^3-\sin\left(x\right)^3\right).