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Determine a general formula (or formulas) for the solution to the following equa

ID: 3427497 • Letter: D

Question

Determine a general formula (or formulas) for the solution to the following equation. Then, determine the specific solutions (if any) on the interval (0, 2 pi). sin theta = Squareroot 3 cos theta Describe in the most concise way possible the general solution to the given equation, where k is any integer. Select the correct choice below and fill in all the answer boxes within your choice. (Simplify your answers. Type any angle measures in radians. Use the smallest non-negative angle possible when describing the general form of each angle. Use ascending order, entering the expression based on the smallest angle first. Type exact answers, using times as needed. Use integers or fractions for any numbers in the expressions.) theta = + k 0 = + k or theta = + k theta = + k or theta = + k or theta = + k theta = + k or theta = + k or theta = + k or theta = + k There is no solution. What is/are the solution(s) to the equation sin theta = Squareroot 3 cos theta on the restricted interval (0, 2pi)? Select the correct choice below and. if necessary, fill in the answer box within your choice. theta = (Use a comma to separate answers as needed. Simplify your answer. Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) There is no solution.

Explanation / Answer

given

sin = sqrt(3)*cos

tan = sqrt(3)

= (/3) ± n = General solution

Specific solution ======> = /3, 4/3

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