Ratkaise (sqrt (3) / cos (2A)) - (1 / sin (2A)) = 4?

Ratkaise (sqrt (3) / cos (2A)) - (1 / sin (2A)) = 4?
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Selitys:

# Sqrt3 / (cos2A) -1 / (sin2A) = 4 #

# => sqrt3 cdot sin2A-cos2A = 4 cdot sin2A cdot cos2A #

# => sqrt3 / 2 cdot sin2A-1 / 2cos2A = 2 cdot sin2A cdot cos2A #

# => sin2A cdot cos30 ^ @ - cos2A cdot sin30 ^ @ = sin4A #

# => Sin (2A-30 ^ @) = sin4A #

# => 2A-30 ^ @ = 4A #

# => 2A = -30 ^ @ #

# => A = -15 ^ @ #

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