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SAT · Additional Topics in Math · Right triangle trigonometry

Question sat-q-00178

Medium Multiple choice No calculator

The question

What is the value of sin(30°)?

  1. ½
  2. 1
  3. 0
  4. √3/2
Show answer & worked solution

Answer: ½

Worked solution. Recall the unit circle: sin(30°) = ½.

Why each wrong choice is wrong. The classic distractor swaps sine and cosine values for the same angle. Drilling the unit circle eliminates this entirely.

Test-day tactic. Memorize sine and cosine at 0°, 30°, 45°, 60°, and 90°. The values are short and they appear constantly.

About this question type

Items test the basic trig ratios (sine, cosine, tangent), the special right triangles (30-60-90 and 45-45-90), and the Pythagorean theorem. Common surface forms include finding a missing side given an angle and a side, finding an angle given two sides, or recognizing a Pythagorean triple in disguise.

You will see a question shaped like this one on roughly every other official SAT form, typically at a moderate position in the section — solidly within the range that separates a 600-band student from a 700-band student. Treat any miss in this subtopic as a signal to drill the subtopic page before you do another full practice test.

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