u/Electrical_Slip_1343

I’m struggling with my online homework, this one question the video doesn’t explain how to achieve the final format.

Given: (sin(8x))^4=___-1/2cos(___x)+1/8cos(___x)

Answer: (sin(8x))^4=3/8-1/2cos(16x)+1/8cos(32x)

I’ve entered the final solution into mathway and it is an identity. I’ve entered it into ChatGPT and gotten steps. But I would like to see the community’s way of solving as well.

Thank you for your help.