ACT Math Practice Question #1466 (Medium (30)) | Test Citadel
TC
Test Citadel
ACT Math Difficulty: Medium (30)

Digital ACT Math Practice Question #1466

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

What are the coordinates of the point on the unit circle corresponding to an angle of 4pi/3 radians?
Select Your Answer:
Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

Q3: both negative. 60° reference: cos = 1/2, sin = sqrt(3)/2 -> (-1/2, -sqrt(3)/2).

Masterclass Solution & Distractor Trap Analysis

4pi/3 is in Q3 (both x and y are negative). Reference angle = pi/3 (60°). cos(4pi/3) = -cos(pi/3) = -1/2. sin(4pi/3) = -sin(pi/3) = -sqrt(3)/2. Coordinates are (-1/2, -sqrt(3)/2)....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

🔒 Citadel Pro Scholar Vault

Unlock Full Solution & 2,600+ Official Drills

Access detailed Socratic steps, trap breakdowns, authentic timed module simulations, and Desmos speed hacks for just $9.99/mo.

Socratic Assistant

Targeted hints without disclosing final solutions.

I am your Socratic tutor. Click one of the quick guidance buttons above or ask a specific question below about a formula or method.