Question

Class - 12 , physics

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Answer 1

$\huge \fbox \blue{Answer✪}$

$y = \sinωt + \cosωt = \sqrt{2} \left( \frac{1}{ \sqrt{2} } \sinωt + \frac{1}{ \sqrt{2} } \cosωt \right) \]$

$= \sqrt{2} ( \sin \: \cos\pi/4 \div \cosωt \: \sin\pi/4)$

$= \sqrt{2} \sin(ωt + \pi/4)$

$[\text{like \: y = Asin(ωt +∅) } ]$

$\text{So, amplitude is } \sqrt{2} \text{ \: units }$

$\text{Initìal Displacement at \: t = 0 \: is}$

$\\ \\ \\ \\ \sf \colorbox{lightgreen} {\red★ANSWER ᵇʸɴᴀᴡᴀʙﷻ}$

Answer 2

Explanation:

$\huge \fbox \blue{Answer✪}$

$</p><p>= \sqrt{2} ( \sin \: \cos\pi/4 \div \cosωt \: \sin\pi/4)</p><p>$

$= \sqrt{2} \sin(ωt + \pi/4)$

$[\text{like \: y = Asin(ωt +∅) } ]$

$\text{So, amplitude is } \sqrt{2} \text{ \: units }$

$\text{Initìal Displacement at \: t = 0 \: is}$