Question: A teacher asks two students to solve the equation 2 cos 2 x = 1 for < x < . The attempts are shown

A teacher asks two students to solve the equation 2 cos2 x = 1 for −π < x < π. The attempts are shown below.

a. Identify the mistake made by Student A.

b. Identify the mistake made by Student B.

c. Calculate the correct solutions to the equation.

Student A: cosx = Reject 1 X x = or 2 2 as cosine cannot be negative or x = - 4 Student B: 2 cosx = 1 1 CO5 x = 2 X = 2 -- 3' 3' 3' 2 3

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