Short answer
What should you know first?
GRE Mathematics Subject Test trigonometry usually becomes easier when you rebuild the unit circle, reference-angle logic, core identities, and graph behavior together instead of memorizing isolated facts. This page focuses on the trig layer that later limits, derivatives, and integration techniques depend on.
Why it matters
Why this topic changes the rest of your prep.
Trig is the crucial bridge from precalculus to calculus, especially for limits, derivatives, integrals, and graph reasoning.
Core notation
$$\sin^2 x + \cos^2 x = 1$$
Must know
Facts and heuristics that should start feeling automatic.
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Reference angle plus quadrant sign often beats memorization.
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Tangent has a different period from sine and cosine.
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Inverse trig notation does not list all angle solutions by itself.
Useful cue
Rewrite in sine and cosine when the expression feels cluttered.
Worked example
One representative example.
Find $$\sin(5\pi/6)$$.
Long route
The angle lies in Quadrant II with reference angle $$\pi/6$$. Sine is positive there, and $$\sin(\pi/6)=1/2$$, so $$\sin(5\pi/6)=1/2$$.
Fast route
Quadrant II, reference angle $$\pi/6$$, sine positive, so the value is $$1/2$$.