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mathslover
 2 years ago
find the general solution for : \(\sin^2 \theta 2 \cos \theta + \frac{1}{4} = 0 \)
mathslover
 2 years ago
find the general solution for : \(\sin^2 \theta 2 \cos \theta + \frac{1}{4} = 0 \)

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Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1\[Sin^2\theta = 1\cos^2 \theta\]

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1Nw Form a Quadratic Equation...

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0I got \(\theta = \cos^{1} \frac{1}{2}\)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0but general solution???

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Just add 2k(360 degrees) where k is any integer, and there's your general solution :D

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1\[\cos \theta =\frac{ 1 }{ 2 }\] \[Cosx=Cosy\] then \[x=(2n \Pi)\pm y\]

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0wait, no, k(360 degrees) not 2k sorry

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0May I explain?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Yea @calculusfunctions sir, please!

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1\[x= (2n \Pi) \pm \frac{ \Pi }{ 3 }\]

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0I had got this : cos theta = 1/2 , please explain after this.

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1There Will be Two value For Cos x @mathslover

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Yes but the negative one will NOT BE ACCEPTED..

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0as cos x can NOT BE NEGATIVE @Yahoo!

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1Why min value of cos x = 1 ....

terenzreignz
 2 years ago
Best ResponseYou've already chosen the best response.0Must x be in degrees?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0\[\sin ^{2}\theta 2\cos \theta +\frac{ 1 }{ 4 }=0\]First multiply the equation by the least common denominator.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Wait, there will be two values for cos theta , the other one is 5/2 but 5/2 , but since the minimum value of cos theta is 1 and hence it can not be 5/2 is this what we must think abt @Yahoo! ? (sorry for my above explanation as : cos theta can never be negative as I thought that we are talking about cos(theta) = cos theta)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0cos(theta) \(\ne\) 5/2

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0@mathslover Let me know when you're interested in learning a more efficient method.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0@calculusfunctions sir, thanks a lot , I think I got it now.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry but do you have any easier or another way?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.0Yes if you're interested.
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