Question

Is 1+cos^2(7x) equal to sin^2(7x)? Or am I off base here?

Answer 1

\(\Large \sin^2\alpha + \cos^2\alpha=1\) for all real numbers.

So it follows that:
\(\Large \sin^2\alpha =1\color{red}- \cos^2\alpha\)

But I don't see how you would get
\(\Large \sin^2\alpha =1\color{red}+ \cos^2\alpha\) ??

Answer 2

Ah, you are right. Trying to use u substitution for an inverse trig problem, but I think I figured it out now. Thank you.

Answer 3

You're welcome. :)