Final answer to the problem
Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
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- Find the derivative
- Factor
- Factor by completing the square
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The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.
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$f\left(x\right)=\sin\left(x\right)^2-\cos\left(x\right)^2+2\cos\left(2x\right)$
Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=(sin(x)-cos(x))(sin(x)+cos(x))+2cos(2x). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Applying the trigonometric identity: \sin\left(\theta \right)^2-\cos\left(\theta \right)^2 = -\cos\left(2\theta \right). Combining like terms -\cos\left(2x\right) and 2\cos\left(2x\right).
