Simplify (cos θ - cos θ)2 + (cos θ + cos θ)2

Solution:

Given expression is

(cos θ - cos θ)2 + (cos θ + cos θ)2

= (0) + (2cos θ)2

= 22(cos θ)2

= 4 cos2θ

Therefore, the simplified expression is 4 cos2θ.

Simplify (cos θ - cos θ)2 + (cos θ + cos θ)2

Summary:

(cos θ - cos θ)2 + (cos θ + cos θ)2 simplifies to 4 cos2θ.

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