SAT Math Practice Question #2560 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2560

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

If $\sin(2x + 10^\circ) = \cos(3x - 5^\circ)$, where both are acute angles, what is $x$?
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Geometry & Trig Rule: Always sketch the triangle or circle and check for standard Pythagorean triples (3-4-5, 5-12-13, 7-24-25, 8-15-17).

Masterclass Solution & Distractor Trap Analysis

Cofunctions are equal when angles are complementary: $(2x + 10) + (3x - 5) = 90 \implies 5x + 5 = 90 \implies 5x = 85 \implies x = 17$....

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

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