Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

How to solve these equations?
[tex]
1) sin^2x+|sinx|-2=0
[/tex]
[tex]
2) |sinx| = cos2x[/tex]

Sagot :

crisforp
1) / sin x / = y ≥ 0 ;
   We solve the equation [tex] y^{2} +y - 2 = 0 ; [/tex]
a = 1 ; b = 1 ; c = - 2 ;
[tex] b^{2} - 4ac = 9 ;[/tex]
y1 = ( - 1 + 3 ) / 2 = 1 ≥ 0 ( correct ) ;
y2 = ( - 1 - 3 ) / 2 = - 2 ≥ 0 ( false ) ;
Then, / sin x / = 1 ;
sinx = + 1 or sin x = - 1 ;
x ∈ { 90 }  U { 270 } ;
x ∈  {90 , 270}.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.