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[CIE] All Pure Mathematics (P1, P2 and P3) doubts here !

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Arthur Bon Zavi:
All Pure Mathematics CIE (9709) doubts here!!!

My small Doubt :

Solve the equation  3sin2theta+4cos theta = 4, giving all the roots, in the interval
0 <= theta <= 2

Arthur Bon Zavi:
Post all Pure Mathematics 2 and 3  (9709) doubts here.

Deadly_king:

--- Quote from: Ancestor on October 31, 2010, 10:13:20 am ---All Pure Mathematics CIE (9709) doubts here!!!

My small Doubt :

Solve the equation  3sin2theta+4cos theta = 4, giving all the roots, in the interval
0 <= theta <= 2

--- End quote ---

Hey man, that's not very difficult. I won't do it but i'll surely give you a hint ;)

Let theta be x

Just replace sin2x by 1 - cos2x

Then let cos x = y and you'll be having a quadratic formula which you solve to obtain the required solution ;D

=> 3y2 - 4y + 1 = 0

I guess that you'll be able to complete the number yourself from now ;)

Arthur Bon Zavi:

--- Quote from: Deadly_king on October 31, 2010, 11:16:34 am ---Hey man, that's not very difficult. I won't do it but i'll surely give you a hint ;)

Let theta be x

Just replace sin2x by 1 - cos2x

Then let cos x = y and you'll be having a quadratic formula which you solve to obtain the required solution ;D

=> 3y2 - 4y + 1 = 0

I guess that you'll be able to complete the number yourself from now ;)

--- End quote ---

I know that was silly. :(

Deadly_king:

--- Quote from: Ancestor on October 31, 2010, 11:22:48 am ---I know that was silly. :(

--- End quote ---

NO worries buddy, it happens.

You should be glad that you're making mistakes now and not in exams ;)

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