Asked by wendy

cot (pi/12)
Answered by Bosnian
pi / 12 = 15 °

pi / 12 = 30 ° / 2


sin 30 ° = 1 / 2

cos 30 ° = sqrt ( 3 ) / 2


cot ( theta / 2 ) = ( 1 + cos theta ) / sin theta

cot 15 ° = ( 1 + cos 30 ° ) / sin 30 °

cot 15 ° = [ 1 + sqrt ( 3 ) / 2 ] / ( 1 / 2 )

cot 15 ° = 2 * [ 1 + sqrt ( 3 ) / 2 ]

cot 15 ° = 2 * [ 2 / 2 + sqrt ( 3 ) / 2 ) ]

cot 15 ° = 2 * [ 2 + sqrt ( 3 ) ] / 2

cot 15 ° = 2 + sqrt ( 3 )


cot pi / 12 = cot 15 ° = 2 + sqrt ( 3 )


There are no AI answers yet. The ability to request AI answers is coming soon!