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2007-11-16 04:05:10 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

solve for the angle x and can u please include the steps

2007-11-16 04:35:53 · update #1

2 answers

cos(x) = 0.9597 - 0.45*sin(x)
cos²(x) = (0.9597 - 0.45*sin(x))²
1 - sin²(x) = 0.922102409 - 0.86373 sin(x) + 0.2025 sin²(x)
0 = -0.07897591 - 0.86373 sin(x) + 1.2025 sin²(x)

sin(x) = [0.86373 ± √(0.86373² - 4*1.2025*(-0.07897591))]/2.405

sin(x) = .80033932 or sin(x) = -0.0820607

so x = 0.927861 or x = -0.0821531

or either of the above plus or minus an integer multiple of 2π

2007-11-17 08:23:07 · answer #1 · answered by Ron W 7 · 0 0

x = -0.08215311362
x = 0.9278609658
x = -5.355324341

2007-11-16 12:14:00 · answer #2 · answered by Bananaman 5 · 0 0

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