${\mathrm{If\; cosec}\theta }^2+4{\sin \theta }^2=4,\text{ where }0°\le \theta \le 90°$,then find the value of θ

`. ### Data Analysis - **Title/Question:** `

${\mathrm{If\; cosec}\theta }^2+4{\sin \theta }^2=4,\text{ where }0°\le \theta \le 90°$,then find the value of θ

` Equation: $\csc^2 \theta + 4 \sin^2 \theta = 4$, where $0^\circ \le \theta \le 90^\circ$. - **Options:** `["90°","30°","45°","60°"]` - **Correct Answer/Option:** `["45°"]` ### Math Check: If $\theta = 45^\circ$: $\csc 45^\circ = \sqrt{2} \implies \csc^2 45^\circ = 2$ $\sin 45^\circ = \frac{1}{\sqrt{2}} \implies 4 \sin^2 45^\circ = 4 \times \frac{1}{2} = 2$ $\csc^2 45^\circ + 4 \sin^2 45^\circ = 2 + 2 = 4$. Matches! ### Format Constraints Check: 1. `clean_answer`: `45°` 2. `solution`: HTML/MathML step-by-step solution. 3. Paragraph separation with `

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