Question

Cos2x + sinx – cos2 x = 0

Answer 1

Cos2x-cos2x+sinx=0
sinx=0
x=πn

Answer 2

To solve the equation $\cos(2x) + \sin(x) - \cos(2x) = 0$, we can simplify it and find the solutions for $x$.

1. Start by canceling out the $\cos(2x)$ terms on both sides of the equation:

$\cos(2x) - \cos(2x) + \sin(x) = 0$

This simplifies to:

$\sin(x) = 0$

2. Now, we need to find the values of $x$ that satisfy $\sin(x) = 0$. The solutions for $\sin(x) = 0$ are values where $x$ is a multiple of $\pi$:

$x = n\pi$, where $n$ is an integer.

So, the solutions for the equation are $x = n\pi$ for all integers $n$.