Find all solutions of the equation 2cosx-1=0 The answer is A+Bkpi and C+Dkpi where k is any integer, 0lt Alt Clt 2pi A= square Preview B= Preview C= square Preview D= Preview

Question

Answer 1

To find all solutions of the equation

, we can start by solving for

.Step 1: Add 1 to both sides of the equation:

Step 2: Divide both sides by 2:

Now, we need to find the values of

that satisfy this equation. The cosine function has a period of

, which means that the solutions will repeat every

radians.Step 3: Find the angles whose cosine is

:The angles whose cosine is

are

and

.Step 4: Write the general solution:The general solution for the equation

is

and

, where

is any integer.Therefore, the values of

,

, and

are:

So, the final answer is:

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