Find all points on the graph of the function f(x) = 2 sin x + sin^2 x at which the tangent line is horizontal.

Question

anonymous · Answer

f'(x) = sin2x i know that much

experimentx · Answer

quite not ..

anonymous · Answer

try finding the deivative again...(for asker)

anonymous · Answer

oh oh oh wait you're right hold up

anonymous · Answer

i think it's better if you don't simplify f'(x)

anonymous · Answer

nah i just didn't apply the product rule for the first term so i just had that as 0 but now i have f'(x) = 2 cos x sin 2 x

anonymous · Answer

I MEAN 2 cos x + sin 2 x

anonymous · Answer

ok, that's it... set = 0 to find your horizontal tangents...

anonymous · Answer

uh rusty on trig run me through it

anonymous · Answer

ok. your derivative is set to zero: 2cosx + sin2x = 0

anonymous · Answer

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this is just the same but the derivative is not simplified...
you can factor the left side of the equal sign...