So I was doing an implicit differentiation and I check the solutions manual and find that they were able to take one more step than I could manage in which two cosine functions magically disappear.

I tried to use the sum identities (imagining that xy could be restated as the sum of x number of y), but can't seem to get anywhere. Seems like I'm missing an identity in my limited trig book.
I tried to use the sum identities (imagining that xy could be restated as the sum of x number of y), but can't seem to get anywhere. Seems like I'm missing an identity in my limited trig book.