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Asked Nov 26, 2019
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37. Solve the equation for the principal root, all solutions in 0, 2T), and all real solutions:
X
2 cos2
3 sin 3 = 0
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37. Solve the equation for the principal root, all solutions in 0, 2T), and all real solutions: X 2 cos2 3 sin 3 = 0

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Expert Answer

Step 1
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Find the solutions of 2cos +3 sin 3 -3 0 Use the formula cos2 0-1 =sin20 and simplify the equation as follows

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Step 2
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2cos +3 sin 3 x -3 0 x -3 = 0 2 1-sin +3 sin x 2-2 sin -3 =0 +3 sin 3 3 x x -2 sin +3sin 3 -1 = 0

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Step 3
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х Let sin —и. Then, -2и2 + Зи —1%3D0 (2и -1)(и-1) -0 и 1 1 и %3 2 К In

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Math

Calculus