你如何解决cos 2x + 3 sinx - 2 = 0?

你如何解决cos 2x + 3 sinx - 2 = 0?
Anonim

回答:

#S = {pi / 6 + 2pin,(5pi)/ 6 + 2pin,x = pi / 2 + 2pin}#

说明:

使用Double Argument属性:

#cos2A = 1-2sin ^ 2A#

#1-2sin ^ 2×+ 3sinx-2 = 0#

#2sin ^ 2X-3sinx + 1 = 0#

#(2sinx-1)(sinx的-1)= 0#

#2sinx-1 = 0或sinx-1 = 0#

#sinx = 1/2或sinx = 1#

#x = sin ^ -1(1/2)或x = sin ^ -1 1#

#x = pi / 6 + 2pin,(5pi)/ 6 + 2pin或x = pi / 2 + 2pin#

#S = {pi / 6 + 2pin,(5pi)/ 6 + 2pin,x = pi / 2 + 2pin}#