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Home » Question: A science communicator creates a puzzle involving the equation - Londonproperty

Question: A science communicator creates a puzzle involving the equation - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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But \(\sin^2 x \cos^2 x = rac{1}{4} \sin^2 2x\), so:
= 5 + rac{4}{\sin^2 2x}
Minimum occurs when \(\sin^2 2x\) is maximized, i.e., \(\sin^2 2x = 1\...
Then value is \(5 + 4 = 9\)
oxed{9}
Question: Find the range of the function \(f(x) = rac{2\sin x + 3}{\s...
e -2\) (which is always true since \(\sin x \in [-1,1]\)).
Solution: Let \(y = rac{2\sin x + 3}{\sin x + 2}\). Solve for \(\sin...
y(\sin x + 2) = 2\sin x + 3 \Rightarrow y\sin x + 2y = 2\sin x + 3
We require \(\left|rac{3 - 2y}{y - 2}

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