# GATE 2016 EE – SET 2 Question 18

$$H(S)=\frac{1}{S+1}$$

Input given $$\Rightarrow \cos (t)$$ and output given $$\Rightarrow A\cos (t+\alpha )$$

$$A=\left | H(S) \right |=\left | \frac{1}{S+1} \right |$$

$$A=\frac{1}{\sqrt{1+1}}=\frac{1}{\sqrt{2}}=0.707$$