Simultaneous trigonometric equations

I am looking for help in solving a pair of simultaneous equations. I have not come accross any maths book that solves trigonometric ones. I was wondering if I could get a step by step solution. Thanking you in advance for your time:

5.4=10cos(x) + 13.41cos(y) .............(i)
0=10sin(x) + 13.41sin(y) ..............(ii)


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Express "cos y" in terms of "cos x" using the II-nd equation and the relationship between the "sin" and the "cos".


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