SOLUTION: Write the expression in terms of sine only. -√3sin(x) + cos(x) Write the expression in terms of sine only. 3(sin(2x) − cos(2x))

Algebra ->  Trigonometry-basics -> SOLUTION: Write the expression in terms of sine only. -√3sin(x) + cos(x) Write the expression in terms of sine only. 3(sin(2x) − cos(2x))       Log On


   

Question 1031180: Write the expression in terms of sine only.
-√3sin(x) + cos(x)


Write the expression in terms of sine only.
3(sin(2x) − cos(2x))

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the expression in terms of sine only.
-√(3sin(x) + cos(x)) = -sqrt[3sin(x)+sqrt(1-sin^2(x)]

Write the expression in terms of sine only.
3(sin(2x) − cos(2x))
= 3(2sin*cos - (cos^2-sin^2)
= 3(2sin*sqrt(1-sin^2)-(1-2sin^2))
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Cheers,
Stan H.
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