value of 8sin20cos40cos80
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Given : 8sin20cos40cos80
To Find : Value / Simplify
Solution :
8sin20cos40cos80
Multiply and divide by Cos20
= 8sin20cos40cos80 * Cos20/ Cos 20
= 8sin20Cos20cos40cos80/Cos20
= 4 * 2sin20Cos20cos40cos80/Cos20
use Sin2x = 2sinxcosx
= 4 * Sin40cos40cos80/Cos20
= 2 *2Sin40cos40cos80/Cos20
= 2 * Sin80cos80/Cos20
= Sin160/Cos20
Sin ( 180 - x) = Sinx => Sin160 = Sin20
= Sin20/Cos20
= tan20
8sin20cos40cos80 = tan20
tan20 = 0.36397
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