Trigonometry! #8

Geometry Level 3

If tan(πcosθ)=cot(πsinθ)\tan(\pi \cos \theta) = \cot (\pi \sin \theta) and 0<θ<3π40 < \theta < \frac {3 \pi }{4}, then sin(θ+π4)= ?\sin (\theta + \frac {\pi}{4}) =\ ?

This problem is part of the set Trigonometry.

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