Digital ACT Math Practice Question #833
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Use the double-angle identity that directly relates \( \cos(2\theta) \) to \( \sin(\theta) \): \( \cos(2\theta) = 1 - 2\sin^2(\theta) \).
Calculate: \( 1 - 2(9/25) = 1 - 18/25 = 7/25 \).
Use the cosine double-angle identity: \( \cos(2\theta) = 1 - 2\sin^2(\theta) \). Substitute \( \sin(\theta) = \frac{3}{5} \): \[ \cos(2\theta) = 1 - 2\left(\frac{3}{5}\right)^2 = 1 - 2\left(\frac{9}{25}\right) = 1 - \frac{18}{25} = \frac{7}...
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