[General] Our student invented a new formula! - For gramatical correction

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Could you please correct the text below?

One of our Maths teachers way of teaching was always funny in my Class X. He usually writes all relevant formulae on the right margin of the board as soon as he entered into the classroom, One day he asked a student: “What is sin[SUP]2[/SUP]θ?” Student replied: sin[SUP]2[/SUP]θ = 1+cos[SUP]2[/SUP]θ (The answer should be 1- cos[SUP]2[/SUP] θ) Teacher said; "All students, attention please: our student has invented a new formula! Please, take your notebook and write it down." All students laughed. The Student intervened and said: "Sir, no, It's 1- cos[SUP]2[/SUP]θ." Teacher requested students: “Now our student says that what he had said before was wrong, please erase it.” The entire class room again vibrated by laughing sound waves.
 
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Entire class room again vibrated by laughing sound waves.

The entire classroom again vibrated/reverberated with laughter.

not a teacher
 
Or shook with laughter.
 
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