ACT Math Practice Question #2031 (Hard (560)) | Test Citadel
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ACT Math Difficulty: Hard (560)

Digital ACT Math Practice Question #2031

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If angle x is in the first quadrant and sin(x) = 9/41, what is the value of cos(x)?
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Pythagorean triple (9, 40, 41) -> cos(x) = 40/41.

Masterclass Solution & Distractor Trap Analysis

Draw a right triangle: opposite = 9, hypotenuse = 41. By the Pythagorean theorem, adjacent = sqrt(41^2 - 9^2) = 40. Thus cos(x) = 40/41....

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

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