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Assume that the following relationship is known to be true for two angles A and B: sin A cos B - cos A sin B

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Assume that the following relationship is known to be true for two angles A and B: sin A cos B - cos A sin B = 0.236731 Express A in terms of the angle B (i.e. solve the given equation for A). Work in radians, and round numeric values accurate to 3 places after the decimal point. A{a} Solve the following equation exactly {without a calculator]: on the given interval. Decimal approximations will be marked wrong. If there are multiple answers, list them all separated by commas in the answer box. 31:3112 = 3, where z is in [0, 1r] {b} Use a calculator to assist in finding all solutions of the following equation in the given interval. Round 1your final answer[s} to 3 places after the decimal point. If there are multiple answers, list them all separated by commas in the answer box. - 2 - _. TI" '31' 5]le+lnz= 1, WherEEISIH[,E:| Grading note: Part {a} is worth 30% of this problem's points, and part (b) is worth the other FIE. Check

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