Question

calcule a) cotg 60°+sec45°

Answer 1

1/sen 60 + 1/cos 45 = 
1/(\/3/2) + 1/(\/2/2) = 
2/ \/3 + 2/ \/2 = 
mmc \/3 e \/2 = \/6
(\/6:\/3*2)/ \/6 + (\/6:\/2*2)/ \/6 = 
(\/2/2)/ \/6 + (\/3/3) / \/6 = 
\/2 / 2\/6 + \/3 / 3\/6 = 
\/2\/6 / 12 + \/3\/3 / 18 = 
\/12 / 12 + \/18 / 18 =
mmc (12 e 18) = 36
(36:12*\/12)/ 36 + (36:18*\/18) / 36 = 
3\/12 / 36 + 2\/18 / 36 =
(3\/12 + 2\/18) / 36 = 
(3\/(4*3) + 2\/(9*2)) / 36 = 
(3*2\/3 + 2*3\/2) / 36 = 
(6\/3 + 6\/2) / 36 = 
6(\/3+\/2)/36 = 
(\/3+\/2)/6