Question 594548: find all solutions for the following equation in interval [0,2pie)
2 sin x - csc x = 0 Found 2 solutions by stanbon, solver91311:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! find all solutions for the following equation in interval [0,2pie)
2 sin x - csc x = 0
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2sin(x) - (1/sin(x)) = 0
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2sin^2(x) - 1 = 0
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sin^2(x) = 1/2
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sin(x) = sqrt(2)/2
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x = 45 degrees in Q1
x = 135 degrees in Q2
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Cheers,
Stan H.
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First off, "pie" is generally a food item, usually with a more or less flaky crust and either a sweet filling of some sort, often fruit, when it is served as a dessert item, or more of a savory filling when served as an entrée or side dish. "pi" is the commonly accepted Roman text representation of the 16th character of the lower case Greek alphabet used in mathematics to represent the ratio between the circumference of a circle and its diameter. Just sayin'
Use
to write
Multiply both sides by
Add 1 to both sides and multiply by
Take the square root
On [)
John
My calculator said it, I believe it, that settles it