Final answer to the problem
The equation is not an identity
Step-by-step Solution
Specify the solving method
1
Apply the trigonometric identity: $\cos\left(a\right)-\cos\left(b\right)$$=-2\sin\left(\frac{a-b}{2}\right)\sin\left(\frac{a+b}{2}\right)$, where $a=3x$ and $b=x$
$-2\sin\left(\frac{3x-x}{2}\right)\sin\left(\frac{3x+x}{2}\right)+\sin\left(x\right)=0$
Learn how to solve differential calculus problems step by step online.
$-2\sin\left(\frac{3x-x}{2}\right)\sin\left(\frac{3x+x}{2}\right)+\sin\left(x\right)=0$
Learn how to solve differential calculus problems step by step online. Prove that cos(3x)-cos(x)sin(x)=0 is not an identity. Apply the trigonometric identity: \cos\left(a\right)-\cos\left(b\right)=-2\sin\left(\frac{a-b}{2}\right)\sin\left(\frac{a+b}{2}\right), where a=3x and b=x. Combining like terms 3x and -x. Combining like terms 3x and x. Take \frac{2}{2} out of the fraction.
Final answer to the problem
The equation is not an identity