Analytic trigonometry
Solving a trig equation like 2 sin(x) = 1 means finding every angle x that makes it true: dividing both sides by 2 gives sin(x) = 0.5, so x = 30 degrees is one solution, and because trig functions repeat, there are usually infinitely many more, described by adding multiples of the period to that base solution. Verifying an identity means starting from one side of an equation and using known identities, like the Pythagorean identity sin^2(x) + cos^2(x) = 1, to algebraically transform it into the other side, showing the two expressions are equal for every value of x where both are defined.
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This final covers a lot of topics, so it's split into 2 parts. Each part includes a question from every one of its topics.
Final, Part 1 of 2
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