SOLUTION: Use the sum-to-product formulas to write the difference as a product. cos(x + π/3) − cos(x − π/3)

Algebra ->  Trigonometry-basics -> SOLUTION: Use the sum-to-product formulas to write the difference as a product. cos(x + π/3) − cos(x − π/3)       Log On


   

Question 848289: Use the sum-to-product formulas to write the difference as a product.
cos(x + π/3) − cos(x − π/3)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the sum-to-product formulas to write the difference as a product.
cos(x + π/3) − cos(x − π/3)
--------------------------------
cos(x)cos(pi/3) - sin(x)sin(pi/3) - [cos(x)(cos(pi/3)+sin(x)sin(pi/3)]
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= -2sin(x)[sqrt(3)/2)
--------
= -sqrt(3)*sin(x)
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Cheers,
Stan H.
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