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Prove that (sintheta+cosectheta)^2+(cost...

Prove that `(sintheta+cosectheta)^2+(costheta+sectheta)^2ge9`.

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To prove that \((\sin \theta + \csc \theta)^2 + (\cos \theta + \sec \theta)^2 \geq 9\), we will follow these steps: ### Step 1: Expand the squares We start with the left-hand side (LHS): \[ (\sin \theta + \csc \theta)^2 + (\cos \theta + \sec \theta)^2 \] Expanding both squares gives: ...
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