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Mathematics 10 Online
OpenStudy (anonymous):

cos 6x - cos2x ?

OpenStudy (anonymous):

Is that all it says?

OpenStudy (anonymous):

No picture?

OpenStudy (anonymous):

what is the answer?

OpenStudy (anonymous):

Cos x -cos y use this formula

OpenStudy (anonymous):

yes the formula : -2sin 1/2 (a+b) sin 1/2 (a-b)

OpenStudy (anonymous):

can you help me please?

OpenStudy (anonymous):

Wat did they tell to find?

OpenStudy (mandre):

\[\cos(6x)-\cos(2x) = -2\sin(\frac{ 6x+2x }{ 2})\sin(\frac{ 6x-2x }{ 2 })\]

OpenStudy (anonymous):

Yeah the same thing .. But is that all u had o find?

OpenStudy (mandre):

You can simplify it a bit but not more than that I would say.

OpenStudy (anonymous):

product terms of

OpenStudy (anonymous):

yes mandre, how to calculate that?

OpenStudy (mandre):

It depends on what they ask for. Do you have a value for x then you substitute for x.

OpenStudy (mandre):

Simplified it's -2sin(4x)sin(2x)

OpenStudy (anonymous):

the choices are a. -6sin^2 2x cos2x b. -4sin^2 2x cos2x c. -2sin^2 2x cos2x d. -6cos^2 2x sin2x e. -4cos ^2 2x sin2x

OpenStudy (anonymous):

can you help me?

OpenStudy (mandre):

It will be b. sin(4x) = 2sin(2x)cos(x) So -2sin(4x)sin(2x) = -2sin(2x)sin(4x) = -2sin(2x).2sin(2x)cos(2x) = -4sin^2(2x)cos(2x)

OpenStudy (mandre):

Correction: sin(4x) = 2sin(2x)cos(2x) Answer is still right though.

OpenStudy (anonymous):

oh, thank you very much :)

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