SOLUTION: Simplify the following expressions as much as possible.
cos(x+pi/3)+sin(x-pi/6)
Algebra.Com
Question 1138453: Simplify the following expressions as much as possible.
cos(x+pi/3)+sin(x-pi/6)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the identity cos(A+B) = cos(A)*cos(B) - sin(A)*sin(B)
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Use the identity sin(A-B) = sin(A)*cos(B) - cos(A)*sin(B)
note how this result is basically the negative version of the result from the previous section above.
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Let y = cos(x)-sqrt(3)*sin(x)
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Answer: The original expression simplifies to 0
We can say that the equation is an identity, meaning that it is a true equation for all real numbers x.
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