Why Isn't My Solar Cell Interference Filter Calculation Matching the Assignment?

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Homework Statement


See attached image, assignment a)

Homework Equations

The Attempt at a Solution


Using ordinary trigonometry, I got simply $$\Delta = sin(\theta_i) 2 d tan(\theta_t) n_{air} - 2n_{oxide} d/cos(\theta_t)$$. However, even if I apply Snell's law, it's not the answer I'm supposed to get according to the assignment. So what's happening?

The two lower triangles with the angle ##\theta_t## are identical, right?
 

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mfb said:
I agree with your answer.
OK I'll send the professor an email. might be that the TA who made this exercise did a mistake