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It is certainly used in calculus, just as calculus can be used in trigonometry.
Trigonometry is used to find the distance and angle of atoms that are bonding. Oh this is for chemistry by the way hope this was helpful. :)
Yes.
Optics deals with light waves, and all waves relate in some way to trigonometry. Also, the reflection and refraction of light involves trigonometry.
There is no direct relationship. Trigonometry can be used in criminology as can many branches of mathematics and of science.