Solve the equation. give a general formula for all the solutions. Solve the equa

Question

Solve the equation. give a general formula for all the solutions.

Solve the equation. Give a general formula for all the solutions. cosx=- /2 Give a general formula for all the solutions by using angle(s) in the interval [0,2pi), and adding multiples of some integer n. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.x= (Simplify your answer. Type an exact answer, using pi as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) There is no solution.

Explanation / Answer

cosx = -3/2

==> x = pi -5pi/6 , pi + pi/6

==> x = -5pi/6 , 7pi/6              7pi/6 is same as -5pi/6

==> x = 5pi/6 , -5pi/6

==> general formula x = 2(pi)n + 5pi/6 , 2(pi)n - 5pi/6

==> x = (1/6)(12(pi)n +5pi) , (1/6)(12(pi)n -5pi)    where n = 0,1,2,3.....

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