Question

solve:
2sin(5x+4)=-sqroot3

Answer 1

sin(5x+4)=-sqrt(3) /2
-----> 5x+4 = 7pi/6 ---> x= ((7pi/6)-4)/5
or 5x+4=11pi/6 ----> x=((11pi/6)-4)/5

Answer 2

t=5x+4
2sin(t)=-sqrt(3)
sin(t)=-sqrt(3)/2
==> t=2/3*pi + 2*pi*k
5x+4 = 2*pi/3 + 2*pi*k
x=2*pi*k/5+2*pi/15-4/5

Answer 3

the sine of an angle that equals -sqrt(3)/2 is 4pi/3 .. Not 7pi/6.---->

Answer 4

-----> 5x+4 = 4pi/3 ---> x= ((4pi/3)-4)/5