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Find all solutions of the equation =2 cos x-1.0.

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Final answer:

The question appears to involve solving a trigonometric equation, but due to unclear information, a general explanation on solving a cosine equation like 2 cos x - 1.0 = 0 is provided, which includes isolating the cosine term and finding the corresponding angles.

Step-by-step explanation:

The question seems to be related to solving a trigonometric equation, but due to the presence of typos and unclear formatting, it's not possible to provide an accurate and definite solution. However, general guidance can be offered.

For an equation involving cosine, such as 2 cos x - 1.0 = 0, you can solve for x by first isolating the cosine term:

  1. Add 1 to both sides of the equation to get 2 cos x = 1.
  2. Divide both sides by 2 to get cos x = 0.5.
  3. Find the angle x for which the cosine is 0.5. This happens at an angle of 60° or π/3 radians, and it's symmetrical counterpart on the unit circle, 300° or 5π/3 radians.

Note that since cosine is a periodic function, there may be multiple solutions depending on the domain of x. To find all possible solutions, add integer multiples of radians to the angles found if the equation is being solved over the interval of all real numbers.

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