SOLUTION: Simplify sin (45 degrees + x) + cos (45 degrees + x)
Please include thorough details and steps to the solution. Thank You.
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-> SOLUTION: Simplify sin (45 degrees + x) + cos (45 degrees + x)
Please include thorough details and steps to the solution. Thank You.
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Question 921738: Simplify sin (45 degrees + x) + cos (45 degrees + x)
Please include thorough details and steps to the solution. Thank You. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! sin (45 degrees + x) + cos (45 degrees + x)
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sin(45)cos(x)-cos(45)sin(x) + cos(45)cos(x)+sin(45)sin(x)
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= (1/sqrt(2))cos(x) - (1/sqrt(2))sin(x) + (1/sqrt(2))cos(x)+(1/sqrt(2)sin(x)
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= (2/sqrt(2))cos(x)
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= sqrt(2)cos(x)
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Cheers,
Stan H.
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