SOLUTION: find all solutions for the following equation in interval [0,2pie) 2 sin x - csc x = 0

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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) About Me  (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
----
2sin(x) - (1/sin(x)) = 0
----
2sin^2(x) - 1 = 0
---
sin^2(x) = 1/2
--
sin(x) = sqrt(2)/2
---
x = 45 degrees in Q1
x = 135 degrees in Q2
==============================
Cheers,
Stan H.
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Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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



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John

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