Solve for u
u\in \mathrm{R}
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\cos(u)=\cos(\frac{2u}{2})
Express 2\times \frac{u}{2} as a single fraction.
\cos(u)=\cos(u)
Cancel out 2 and 2.
\cos(u)-\cos(u)=0
Subtract \cos(u) from both sides.
0=0
Combine \cos(u) and -\cos(u) to get 0.
\text{true}
Compare 0 and 0.
u\in \mathrm{R}
This is true for any u.
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Limits
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