
### Instruction: help me answer this question Prove that sin2 6x – sin2 4x = sin 2x sin 10x, think step by step
### Assistant: Using sum and difference formulas, sin 6x can be written as sin (2x + 4x) and sin 4x can be written as sin (2x + 2x). Then applying the formula for sin (a + b) and sin (a - b) and using some trigonometric identities, the result can be obtained. , The answer is sin2 6x – sin2 4x = sin 2x sin 10x
