Trigonometry Examples

Solve over the Interval sin(x+pi/4)+sin(x-pi/4)=1 , [0,2pi)
,
Graph each side of the equation. The solution is the x-value of the point of intersection.
, for any integer
Find the values of that produce a value within the interval .
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Plug in for and simplify to see if the solution is contained in .
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Plug in for .
Simplify.
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Multiply .
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Multiply by .
Multiply by .
Add and .
The interval contains .
Plug in for and simplify to see if the solution is contained in .
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Plug in for .
Simplify.
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Multiply .
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Multiply by .
Multiply by .
Add and .
The interval contains .
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