radomes.openskiesproject.org
aviationfan aviationfan
  • 24-05-2015
  • Mathematics
Answered

How to solve these equations?

\(
1) sin^2x+|sinx|-2=0
\)

\(
2) |sinx| = cos2x\)

Verified Answer :

crisforp
crisforp crisforp
  • 24-05-2015

1) / sin x / = y ≥ 0 ;
   We solve the equation \(y^{2} +y - 2 = 0 ;\)
a = 1 ; b = 1 ; c = - 2 ;
\(b^{2} - 4ac = 9 ;\)
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}.

Answer Link

Related Questions

If k is the quotient of 2 and the differerence of 10 and 6 what is k
What is 58 divided by 20
What European island nation is located at 20 degrees W and 63 degrees N
Which of the following statements about the Fourteenth Amendment is true It reversed the strides emancipated slaves had made after the passage of the Thirteenth
liability is incurred by the actions of supervisors and managers rather than by their employees actions B Indirect C Organizational D Direct
In addition to characterization and plot dialogue can also reveal A asides B setting C antagonists D readers bias
Write an equation of a line in slope intercept form that is perpendicular to the line 2x 3y 12 and passes through the point 2 6
what did most americans understand before their country entered world war i that the war would not last long that the war would cost american lives that the war
write me a story pls
How long should warmup and cooldown activities take