Show that \sin10^\circ is irrational.

ulcerat9jr

ulcerat9jr

Answered question

2022-05-03

Show that sin10 is irrational.

Answer & Explanation

Brenton Steele

Brenton Steele

Beginner2022-05-04Added 18 answers

identity: sin(3a)=3sin(a)4sin3(a) By using this identity,
12=sin30=3sin104sin310
1=2sin30=6sin108sin310
Then if you set x=2sin(10) you will get
x33x+1=0

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