A-LEVEL MATHS HELP! Asap
Is this correct because the markscheme isn't really giving specific answers.
(edited 1 year ago)
For part b) note that the identity in part a) goes from double angle on left to single angle on the right so ... Note youo could check by typing the values you calculated into the original equation and checking they give sqrt(3). The hint in the question is that theta goes up to 180 which is half 360.
also part a) could be simplified slightly if you used the double angle identity for cos(2x) = 2cos^2(x)-1 directly. Its worth remembering there are 3 similar identities.
also part a) could be simplified slightly if you used the double angle identity for cos(2x) = 2cos^2(x)-1 directly. Its worth remembering there are 3 similar identities.
(edited 1 year ago)
So they are all incorrect because none of them give the square root of 3.
Original post by skyeforster15
So they are all incorrect because none of them give the square root of 3.
They are indeed. Think again about the double / single angle in part a) and how that applies to the 4theta+10 in part b)
Original post by mqb2766
They are indeed. Think again about the double / single angle in part a) and how that applies to the 4theta+10 in part b)
2nd attempt!
Original post by skyeforster15
2nd attempt!
Same mistake (you could have checked the values again). The curves in desmos are
https://www.desmos.com/calculator/8grxyvvczx
obvoiusly the identity transformation you do to map to cot(4theta+10) isnt correct. Think about 2x and x transformation.
Note you write cot(4theta+10)=sqrt(3). This can't be correct as theres also a cosec() term added to cot(4theta+10)
(edited 1 year ago)
Original post by mqb2766
Same mistake (you could have checked the values again). The curves in desmos are
https://www.desmos.com/calculator/8grxyvvczx
obvoiusly the identity transformation you do to map to cot(4theta+10) isnt correct. Think about 2x and x transformation.
Note you write cot(4theta+10)=sqrt(3). This can't be correct as theres also a cosec() term added to cot(4theta+10)
https://www.desmos.com/calculator/8grxyvvczx
obvoiusly the identity transformation you do to map to cot(4theta+10) isnt correct. Think about 2x and x transformation.
Note you write cot(4theta+10)=sqrt(3). This can't be correct as theres also a cosec() term added to cot(4theta+10)
Attempt 3.
Original post by skyeforster15
Attempt 3.
Third time "lucky"
https://www.desmos.com/calculator/qchsxv0yjd
IN part a) the double angle on the left reduces to a single angle on the right because of of the cos(x) cancellation. So here you half the 4theta+10 and x=2theta+5. Note also that the domain is 0..180 which kinda suggests youll be solving a double angle.
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