SAT Math / Trigonometry

Unit Circle Basics

Rarely tested: fewer than half of the official practice tests have a question on it.
Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
SOHCAHTOASOHCAHTOA recalls right-triangle ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent. Use a chosen acute angle, between 0° and 90°.

You’ll leave with these skills

  1. Read sine and cosine from a point on the unit circleRead the point’s x-value as the cosine and its y-value as the sine.
  2. Convert between degrees and radiansMultiply a degree measure by π/180 to convert it to radians. Multiply a radian measure by 180/π to convert it to degrees.
  3. Find the exact sine and cosine of 30, 45, and 60 degreesUse the 30-60-90 and 45-45-90 triangles with a hypotenuse of 1 to get the exact coordinates of those points on the unit circle.
  4. Find the sine and cosine of angles past 90 degreesMeasure the angle to the nearest side of the x-axis to get the sizes of the coordinates, then use the point’s quadrant to decide which ones are negative.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
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  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

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