Beam Solid Angle Integral Question

[Paul678]

Look at the first integral on this page.

How did they go from Omega(A)= cos(phi) = cos(phi)sin(phi)?

Is that possibly a typo?

 

[IRstuff]

Student posting is not allowed.

Did you not notice the variable substitution?

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[Paul678]

I am not a student....just an engineer doing some review.

Ok, so they are going substitution here? Makes sense:

https://www.math.hmc.edu/calculus/tutorials/substitution/

 

[IRstuff]

They sort of have to. The solid angle is am area variable, while the angles being integrated over are 1D.

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