A teacher asks two students to solve the equation 2 cos 2 x = 1 for
Question:
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.
Transcribed Image Text:
Student A: cos²x = ± Reject 1 π X x = or √2 √2 as cosine cannot be negative π or x = - 4 Student B: 2 cos²x = ±1 1 CO5 x = ±2 X = π π 2π -- 3' 3' 3' 2π 3
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a Cosine can be negative so do not reject C...View the full answer
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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