If , then is equal…

MATHEMATICS · Numerical · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If tan⁡(πcos⁡θ)=cot⁡(πsin⁡θ)\tan(\pi\cos\theta)=\cot(\pi\sin\theta), then cos⁡2(θ−π4)\cos^2\left(\theta-\frac{\pi}{4}\right) is equal to

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