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Trigonometry › Inverse trigonometric functions › Inverse trig equations

Sum of x and y in a system

High school · ●●●○○ 50 pts

Given that x+sin⁡y=2008x+\sin y=2008 and x+2008cos⁡y=2007x+2008 \cos y=2007, where 0≤y≤π20 \leq y \leq \frac{\pi}{2}, find the value of x+yx+y. Give your answer as a decimal rounded to two decimal places.

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trigonometric equationssystems of equationsmonotonicitysine and cosine