# Trig in equation

1. Jan 18, 2007

### Aristodol

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

2. Jan 18, 2007

### chanvincent

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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