Digital ACT Math Practice Question #2123
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Plug in $x = \pi/4$: $(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2})^2 = (\sqrt{2})^2 = 2$. Test Choice A: $1 + 2(1/2) = 2$. Match!
Expand the binomial: $(\sin x + \cos x)^2 = \sin^2 x + 2\sin x\cos x + \cos^2 x$. Since $\sin^2 x + \cos^2 x = 1$, this simplifies to $1 + 2\sin x\cos x$ (which also equals $1 + \sin 2x$)....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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