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I am in degrees

I am remembering to include the restriction (|0<x<90)

This is the only equation I've had trouble doing on my ti89

In order to solve a problem I am plugging in the following equations:

520cos(x) = 490cos(y)

490sin(y) + 520sin(x) = 678

Doing this by hand with some Pythagorean trig identities gets me the correct answers of x = 44.0188 degrees and y = 40.2583 degrees and yet for some reason my calculator is not returning these.

Here is exactly what I am plugging in:

solve(520*cos(x) = 490*cos(y) and 490*sin(y) + 520*sin(x) = 678,x)|0<x<90

but rather than getting a value for x and y I am getting (after about a 7 second wait, pretty long)

x = 57.2958 (0.017453 * arcsin(.942308 * (sin(y)-1.38367)) + 6.28319*(@n11 + .5)) and...(insert more similar stuff here)

anyway the point is it isnt returning the correct answers that I was got (and checked) by hand and I'm not sure why.

Thank you so much in advance for your help, I'm trying to take full advantage of this calculator im trying to learn.

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# TI89 Failing to solve trig system of equation

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