SOLUTION: find all values of α; 0°<α<360° that satisfy 2cos2x=1
Algebra.Com
Question 683333: find all values of α; 0°<α<360° that satisfy 2cos2x=1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find all values of α; 0°<α<360° that satisfy
2cos(2x)=1
2(1-2sin^2x)=1
1-2sin^2x=1/2
2sin^2x=1-1/2=1/2
sin^2x=1/4
sinx=1/2
x=30º and 150º
RELATED QUESTIONS
Given that α and β are the roots of the quadratic equation, 3x²-2x-1=0 , find... (answered by richard1234)
Find all values of x in [0degrees, 360 degrees) that satisfy the equation 2 sin(2x)... (answered by lwsshak3)
find all real values of θ in the interval [0°,360°) that satisfy the equation... (answered by lwsshak3)
find all values of theta in the interval 0 theta 360 that satisfy the equation sin2x=sinx
(answered by Alan3354)
Find all values of x that satisfy sin x = 0.682 where x lies between 0 and 360... (answered by stanbon)
find all values of a in [0 degrees,360 degrees) that satisfy the given equation.... (answered by Alan3354)
If α and β are the roots of 2x²-2x+5=0, find the values of... (answered by MathLover1,ikleyn)
Find all values of θ in the interval 0 ≤ θ < 360° that satisfy the... (answered by stanbon,robertb)
Find all values of theta that satisfy the condition sin theta < -1 where
0 degrees <_... (answered by stanbon,Edwin McCravy)