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ACT · Trigonometry · The unit circle and special angles

Question act-q-00524

Hard Multiple choice No calculator

The question

What is the value of sin(0°)?

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

Answer: 0

Worked solution. Recall the unit circle: sin(0°) = 0.

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 trig values at the standard angles, often using radian measure.

You will see a question shaped like this one on roughly every other official ACT form, typically at the back end of the section, where the score gradient is steepest. 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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