SOLUTION: Solve the trigonometric inequality. Write the solution in the interval notation.
cos(2x + pi/4) < 1/2
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Question 901909: Solve the trigonometric inequality. Write the solution in the interval notation.
cos(2x + pi/4) < 1/2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the solution in the interval notation.
cos(2x + pi/4) < 1/2
Note:: cos(pi/3) = 1/2
cos(2x+pi/4) < 1/2 when (5/3)pi< 2x+pi/4
Solve for "x"::
(5/3 - 1/4)pi < 2x < (1/3 - 1/4)pi
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(17/12)pi < 2x < (1/12)pi
------------------------
(17/24)pi < x < (1/24)pi
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Cheers,
Stan H.
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