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Mathematics 17 Online
OpenStudy (anonymous):

can you find the period of y=cos(ax)*cos(bx)+sin(ax)*sin(bx) ?

OpenStudy (anonymous):

@ganeshie8.please help me

OpenStudy (anonymous):

@k142.please help me

OpenStudy (anonymous):

@nikato.help!

OpenStudy (anonymous):

@campbell_st .

ganeshie8 (ganeshie8):

y=cos(ax)*cos(bx)+sin(ax)*sin(bx) =cos(ax-bx) =cos((a-b)x)

ganeshie8 (ganeshie8):

what do you know about period of cos(Ax) ?

OpenStudy (anonymous):

i know that the period of cos(ax) is \[\frac{ 2\pi }{ \left| a \right| }\]

ganeshie8 (ganeshie8):

In light of that knowledge, whats the period of cos((a-b)x) ?

OpenStudy (anonymous):

it's \[\frac{ 2\pi }{ a-b }\]

ganeshie8 (ganeshie8):

perfect!!

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