Find \(\int_{π/4}^{π/2} \,2sinx \,sin⁡(cos⁡x) \,dx\).

• A. 2(1-cos⁡\(\frac{1}{\sqrt{2}}\))
• B. (cos⁡\(\frac{1}{\sqrt{2}}\)-cos⁡1)
• C. 2(cos⁡\(\frac{1}{\sqrt{2}}\)+1)
• D. (cos⁡\(\frac{1}{\sqrt{2}}\)+cos⁡1)