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Evaluate
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Differentiate w.r.t. ψ
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\psi n\pi +q\times 0+k\tan(2\pi )
Get the value of \cos(\frac{\pi }{2}) from trigonometric values table.
\psi n\pi +0+k\tan(2\pi )
Anything times zero gives zero.
\psi n\pi +0+k\times 0
Get the value of \tan(2\pi ) from trigonometric values table.
\psi n\pi +0+0
Anything times zero gives zero.
\psi n\pi
Add 0 and 0 to get 0.