0.96

Geometry Level 2

If 0<θ<π20 < \theta < \frac{\pi}{2} and sinθ=2425,\sin \theta=\frac{24}{25}, what is the value of

cosθ2sinθ2+cosθ2?\frac{\cos \frac{\theta}{2}}{\sin \frac{\theta}{2}+\cos \frac{\theta}{2}}?

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