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D (#11-20) Solve the following equations for all x, unless the domain is restricted. 11. 2cos(x) - 2 = -1 A. no solution B. /3 + 2n C. /3 + 2n, 5/3 + 2n D. 5/3 + 2n E. /3 F. /3, 5/3

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MathPhysidn

Answer:

C. π/3 + 2πn, 5π/3 + 2πn

Step-by-step explanation:

Solve for cos x, then use the unit circle to find the angle x.

Solving for cos x:

2 cos x − 2 = -1

2 cos x = 1

cos x = 1/2

From the unit circle, cos x is 1/2 at two places, π/3 and 5π/3. Cosine has a period of 2π, so the final answer is:

x = π/3 + 2πn, 5π/3 + 2πn

View image MathPhys
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