Consider a distortionless system H(ω) with magnitude and phase responses as shown in Fig. If an input signal x(t) = 2 cos 10 πt + sin 26 πt is given to this system, the output will be

• A. 4cos(10πt) + sin(26πt)
• B. 8cos(10πt) + sin(26πt)
• C. \(4 \cos \left(10 \pi t - \dfrac{\pi}{6}\right)+ \sin \left(26 \pi t - \dfrac{13\pi}{30}\right)\)
• D. \(8 \cos \left(10 \pi t - \dfrac{\pi}{2}\right)+ \sin \left(26 \pi t - \dfrac{\pi}{2}\right)\)