SOLUTION: Get to single trigonometric function (Sin 15degrees)(cos 75degrees) - (cos 15 degrees) (sin 75 degrees)

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Question 969899: Get to single trigonometric function
(Sin 15degrees)(cos 75degrees) - (cos 15 degrees) (sin 75 degrees)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Get to single trigonometric function
(Sin 15degrees)(cos 75degrees) - (cos 15 degrees) (sin 75 degrees)
----
sin(15)*cos(90-15) - (cos(15)*sin(90-15))
----------
sin(15)*sin(15) - cos(15)cos(15)
------
sin^2(15)-cos^2(15)
----
= cos(2*15)
-----
= cos(30)
-----
= sqrt(3)/2
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Cheers,
Stan H.
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