Explanation
The equation for SHM x=A\cos(\omega t+\phi)When x=\dfrac{A}{2}, \Rightarrow \dfrac{A}{2}=A\cos(\omega t+\phi_1)or 60^o=\omega t+\phi_1 ....(1)When x=-\dfrac{A}{\sqrt 2}, \Rightarrow -\dfrac{A}{\sqrt 2}=A\cos(\omega t+\phi_1)or 225^o=\omega t+\phi_2 ....(2)(2)-(1) \Rightarrow \phi_2-\phi_1=225-60=165^o also x=A\sin(\omega t+\phi)When x=\dfrac{A}{2}, \Rightarrow \dfrac{A}{2}=A\sin(\omega t+\phi_1)or 30^o=\omega t+\phi_1 ....(1)When x=-\dfrac{A}{\sqrt 2}, \Rightarrow -\dfrac{A}{\sqrt 2}=A\sin(\omega t+\phi_1)or 225^o=\omega t+\phi_2 ....(2)(2)-(1) \Rightarrow \phi_2-\phi_1=225-30=195^o
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