Usually, the goal is to get the unknown by itself, but here, because the unknown is nestled within a trig function, the goal is to isolate the trig function and use the inverse trig function to solve for the unknown. Using an inverse trig function is like working backward, finding an ...
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Intermediate example: If you use trig functions to find the sides of a triangle, the answer had better uphold the Pythagorean theorem and other trig identities. Similarly, any physics answer had better uphold the various conservation laws.
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