Teaching NVS TGT 2024 Test Series Mathematics Trigonometry Trigonometric Functions

If tan (π cos θ) = cot (π sin θ), \(0<\theta<\frac{\pi}{2}\); then what is the value of \(8 \sin ^2\left(\theta+\frac{\pi}{4}\right)\) ?

1
16
2
2
3
1
4
\(\frac{1}{2}\)
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