Quiz: Quiz (3.1~ 3.4) Submit Quiz This Question: 1 p 1 of 15 (0 complete) This Q
ID: 3183755 • Letter: Q
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Quiz: Quiz (3.1~ 3.4) Submit Quiz This Question: 1 p 1 of 15 (0 complete) This Quiz: 15 pts possible Solve the equation. Give a general formula for all the solutions. List six solutions Write the general form for all the solutions to sin based on the smaller angle 0 k is any integer (Simplify your answer. Use angle measures greater than or equal to 0 and less than 2. Type an exact answer, using ? as needed. Use integers or fractions for any numbers in the expression. Type an expression using k as the variable.) Write the general form for all the solutions to sin based on the larger angle ? ,kis any integer (Simplify your answer Use angle measures greater than or equal to 0 and less than 2? Type an exact answer, using ? as needed Use integers or fractions for any numbers in the expression. Type an expression using k as the variable.) greaterthanas List the first six solutions that are greater than or equal to 0 (Simplify your answer Type an exact answer using ? as needed Use integers or fractions for any numbers in the expression use a comma to separate answers as needed.) Enter your answer in each of the answer boxesExplanation / Answer
sin theta / 2 = sqrt 2 /2
theta / 2 = sin^-1 ( sqrt 2 /2 )
theta /2 = pi/4 + 2 kpi , 3pi/4 + 2 kpi
theta = pi/2 + 4 pi k , k is any integer
theta = 3pi/2 + 4 pi k , k is any integer
6 solutions greater than 0 are
theta = pi/2 , 3pi/2 , 9pi/2 , 11pi/2 , 17pi/2 , 19pi/2
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