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OpenStudy (anonymous):
cos 6x - cos2x ?
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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)
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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.
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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
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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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