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Solve the equation. Give a general formula for all the solutions. 2 COS X - Squa

ID: 3399780 • Letter: S

Question

Solve the equation. Give a general formula for all the solutions. 2 COS X - Squareroot2 =0 Give a general formula for all the solutions by using angle(s) in the interval [0.2n), and adding multiples of some integer n. Select the correct choice below and if necessary, fill in the answer box to complete your choice. (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

2cosx - sqrt(2) = 0

cos(x) = 1/sqrt(2)

x = pi/4,7pi/4

x = pi/4+2npi, pi/4-2npi,7pi/4+2npi,7pi/4-2npi

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