Question

Please help! Steps on a precal/trig problem. Click attached to view

Answer 1

\[\sin x+\cos x=3/2\]
\[(\sin x +\cos x)^2=\sin ^2x + \cos^2x+2\sin x \cos x = 9/4\]
\[2\sin x \cos x =9/4-1=5/4\]
\[2\sin x \cos x =\sin 2x\]
\[\sin 2x=5/4\]
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Answer: Number 4

Answer 2

Thank you so much!