Oxford University MAT 2015 Solved Papers

Question : 7 of 10

Marks: +1, -0

The graph of

\cos ^2(x)=\cos ^2(y)

is sketched in

Solution:

Consider integer multiples of

π

. When

y=n π, \cos ^2(n π)=1

. Hence this is satisfied when

x=m π

, so all the points

(n π, m π)

must exist on the graph. The answer is (c).

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