How do I rearrange this equation involving trig functions to solve for x?

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To rearrange the equation sin^2(x)tan(x) = 1356 for x, start by substituting tan(x) with sin(x)/cos(x). Next, use the identity cos(x) = √(1 - sin^2(x)) to express everything in terms of sin(x). After squaring both sides, you will arrive at a sixth-order polynomial, which can be simplified by substituting y = sin^2(x) to form a third-order polynomial. Solving this polynomial for y will ultimately allow you to find the values of x. This method provides a systematic approach to solving for the unknown angle x.
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i am unsure about how to rearrange this equation so that I can solve for x an unknown angle. Please help.

we have:

sin^2 x(tan x)=1356

it is very simple I no but I just can't remember the way to go about solving this problem, especially because of the sin^2
 
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Follow the steps below:

1. tan(x) = \frac{sin(x)}{cos(x)}
2. cos(x) = \sqrt{1 - sin^2(x)}
3. take square on both size, and re-arrange the terms, you will get a 6th order polynomial
4. do a substitution y = sin^2(x), then you will have a 3th order polynomial
5. solve the 3rd order polynomial for y...
6. as soon as you have y, you will get x... (make sure x is not a single value function of y)
 
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