SOLUTION: Solve for roots 3sin^2x-8sinx-3=0

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Question 149437: Solve for roots
3sin^2x-8sinx-3=0

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

Let's substitute
Quadratic equation in u.
Factor the quadratic equation.
First factor:




2 solutions for this equation.
x=340.53 degrees and x=199.47 degrees
Second factor:



sin(x) is never greater than 1, so there are no additional solutions.
Below is the graph of the function.

Note : x axis is measured in radians.
360 degrees = 6.28 radians
340.53 degrees = 5.94 radians
199.47 degrees = 3.48 radians

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