1 / 3cos30 ° / 1 / 2sin45 ° + tan60 ° / cos30 °?

Odgovor:

# {6+ sqrt {6}} / 3 #

Oh moj bog, ne morejo priti do problema s trigonom, ki ni 30/60/90 ali 45/45/90?

# {1/3 cos 30 ^ circ} / {1/2 sin 45 ^ circ} + tan60 ^ circ / cos 30 ^ circ #

# = {2 cos 30 ^ circ} / {3 sin 45 ^ circ} + postelja 30 ^ circ / cos 30 ^ circ #

# = {2 cos 30 ^ circ} / {3 sin 45 ^ circ} + {cos 30 ^ circ / sin 30 ^ circ} / cos 30 ^ circ #

# = {2 cos 30 ^ circ} / {3 sin 45 ^ circ} + 1 / sin 30 ^ circ #

# = 2 (sqrt {3} / 2) / (3 / sqrt {2}) + 1 / (1/2) #

# = 2 + sqrt {6} / 3 = {6+ sqrt {6}} / 3 #

Odgovor je 1. Ker je števec in imenovalec ulomka enaka, izničita: sqrt ((tan60 ° + 1) / (tan60 ° + 1)) = sqrt (1) = 1