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Mathematics 13 Online
OpenStudy (anonymous):

sin(x)+sin(7x)

OpenStudy (anonymous):

Simplifying? Or is there an equation to solve?

OpenStudy (pottersheep):

What about it?

OpenStudy (anonymous):

Sorry. new to this. as a product of sines/cosine

OpenStudy (anonymous):

Hmm, there are multiple angle formulas, but that can get pretty chunky for sin(7x) . . .

OpenStudy (anonymous):

I figured sin(6x+x), but I get stuck from there.

hartnn (hartnn):

or u can use sin C+sin D = 2 sin ((C+D)/2) cos ((C-D)/2)

hartnn (hartnn):

which gives u 2 sin 4x cos 3x

OpenStudy (anonymous):

Ooh, I like that a lot better.

OpenStudy (anonymous):

That's a sum-to-product identity, right, @hartnn ? I never remember those!

hartnn (hartnn):

yup :)

OpenStudy (anonymous):

I need to just print this out and carry it with me: http://en.wikipedia.org/wiki/List_of_trigonometric_identities

OpenStudy (anonymous):

Ahhh. I always have ahard time remembering most of them. Thanks.

hartnn (hartnn):

welcome all :)

OpenStudy (shaik0124):

it is in the form of sin c+sin D so if u expand sin equations u will @hartnn equation

OpenStudy (anonymous):

sin(7x)+sin(x) = 2 sin 7x+x/2 * cos 7x-x/2 = 2 sin4x cos3x

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