SOLUTION: A)write the equation cos(2 theta)-sin(theta)=0 in terms of sin (theta)
B) Hence solve cos(2 theta)-sin(theta)=0 for 0<theta<2pie
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Question 695503: A)write the equation cos(2 theta)-sin(theta)=0 in terms of sin (theta)
B) Hence solve cos(2 theta)-sin(theta)=0 for 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A)write the equation cos(2 theta)-sin(theta)=0 in terms of sin (theta)
----
cos(2x) - sin(x) = 0
---
1 - 2sin^2(x) - sin(x) = 0
----
2sin^2(x)+sin(x) -1 = 0
Factor:
(2sin(x)-1)(sin(x)+1) = 0
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sin(x) = 1/2 or sin(x) = -1
x = 30 or 120 degrees OR x = 270 degrees
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Cheers,
Stan H.
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