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Find all solutions of the equation in the interval (0, 2pi)

 

4 sin x-1=0

 

solution set????

 May 13, 2020
 #1
avatar+111470 
+2

4sin x - 1  =  0

 

4 sin x  =  1          divide both sides by  4

 

sin x  =  1/4

 

Using  the sine inverse to find x

 

arcsin (1/4)  = x   ≈ .253  rads     (1st quadrant angle)

 

Also  x is a second quadrant angle

 

x =  pi - .253  ≈  2.89 rads

 

 

cool cool cool

 May 13, 2020

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