Digital ACT Math Practice Question #1236
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Never divide by a trigonometric function without considering where it equals zero! Factoring out $\cos(\theta)$ preserves all 3 roots.
Use the double-angle identity: $\sin(2\theta) = 2\sin(\theta)\cos(\theta)$. $$2\sin(\theta)\cos(\theta) - \cos(\theta) = 0 \implies \cos(\theta)(2\sin(\theta) - 1) = 0.$$ This yields two cases: 1) $\cos(\theta) = 0 \implies \theta = \frac{\...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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