simplification for the following expression

[Amadrrs]

Can someone please help me how to simplify this expression to reach to the following?



Thank you.

Best,

 

[Deleted member 4993]

Can someone please help me how to simplify this View attachment 13344expression to reach to the following?

View attachment 13346

Thank you.

Best,

In your problem, Is:

I = \(\displaystyle \sqrt{-1}\) = i

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[Amadrrs]

Yes. Thank you. Fortunately, I solved my problem.

 

[Dr.Peterson]

It might have helped if you had not said you wanted to simplify an expression, and instead said you wanted to transform the equation. Note that you have multiplied by cos θ and divided by sin(θ/2), so the new equations is not strictly equivalent. This is among the reasons we want to see context.

 

[Amadrrs]

This expression obtained from diagonalizing the Hamiltonian for a two-level system in Quantum Mechanics.