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## Main Question or Discussion Point

I am trying to show how the shock wave angle varies as I hold the deflection angle constant and increase the Mach number. I am trying to solve for Beta (shock wave angle) using the theta-beta-mach relation:

tan(θ)= 2cot(β) * (M

This seems like it should be a simple problem, but I can't seem to figure it out.

Note, I am using constant specific heats hence the 1.4 in the equation.

Any hints?

tan(θ)= 2cot(β) * (M

^{2}sin2(β)-1) / (M^{2}(1.4+cos(2β))+2)This seems like it should be a simple problem, but I can't seem to figure it out.

Note, I am using constant specific heats hence the 1.4 in the equation.

Any hints?