4.03: Trigonometric simplification

0606/11/M/J/26 — Question 3 · 4 marks

Given that \(0<\theta<\dfrac{\pi}{2}\), show that \((3+5\cot\theta)^2+(3-5\cot\theta)^2-50\cosec^2\theta\) simplifies to a constant, and state the constant.
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