C3 Trig Watch

TenOfThem
Badges: 16
Rep:
?
#21
Report 5 years ago
#21
(Original post by Khallil)
Really?

Spoiler:
Show
(b) \ \text{Find the smallest possible value of} \  \frac{30}{ f(\theta) + 2}

To find the smallest value of the given fraction, maximise the value of the denominator.

f(\theta) = 13\cos \left( \theta - \text{arctan} \left( \frac{12}{5} \right) \right)

The maximum value of f occurs at \theta = \text{arctan} \left( \frac{12}{5} \right) + 2\pi n

\therefore \ f\left((\text{arctan} \left( \frac{12}{5} \right) \right) = 13

The smallest value of the given fraction is:

\therefore \ \dfrac{30}{13 + 2} = 2
Yes, really, your answer is incorrect
0
reply
TenOfThem
Badges: 16
Rep:
?
#22
Report 5 years ago
#22
(Original post by IgorYakov)
30/-11
Yes


It is easy to fall into the trap of largest denominator gives smallest answer

But, of course, a negative is always smaller than a positive
0
reply
IgorYakov
Badges: 3
Rep:
?
#23
Report Thread starter 5 years ago
#23
(Original post by TenOfThem)
Yes


It is easy to fall into the trap of largest denominator gives smallest answer

But, of course, a negative is always smaller than a positive
Aah okay thanks a lot! The book has the answer of 2 so I think they made the same mistake
0
reply
TenOfThem
Badges: 16
Rep:
?
#24
Report 5 years ago
#24
(Original post by IgorYakov)
Aah okay thanks a lot! The book has the answer of 2 so I think they made the same mistake
Are you sure that the question did not have a |magnitude| sign around the fraction
0
reply
IgorYakov
Badges: 3
Rep:
?
#25
Report Thread starter 5 years ago
#25
(Original post by TenOfThem)
Are you sure that the question did not have a |magnitude| sign around the fraction
Yeah, it's written in the book exactly how I wrote it in the OP

Is the magnitude sign the same if it's written as [magnitude] as it's in another question. If so, does this mean you only use the maximum or positive numbers?
0
reply
TenOfThem
Badges: 16
Rep:
?
#26
Report 5 years ago
#26
(Original post by IgorYakov)
Yeah, it's written in the book exactly how I wrote it in the OP

Is the magnitude sign the same if it's written as [magnitude] as it's in another question. If so, does this mean you only use the maximum or positive numbers?
I was wondering if it had the |modulus| sign so +ve value

But, if there is nothing then the answer in the back of the book is wrong
0
reply
IgorYakov
Badges: 3
Rep:
?
#27
Report Thread starter 5 years ago
#27
(Original post by TenOfThem)
I was wondering if it had the |modulus| sign so +ve value

But, if there is nothing then the answer in the back of the book is wrong
Oh okay thanks!
0
reply
Khallil
Badges: 13
Rep:
?
#28
Report 5 years ago
#28
(Original post by IgorYakov)
Yeah, it's written in the book exactly how I wrote it in the OP

Is the magnitude sign the same if it's written as [magnitude] as it's in another question. If so, does this mean you only use the maximum or positive numbers?
Are you sure there isn't a restriction on the values that \theta can take?

(Original post by TenOfThem)
I was wondering if it had the |modulus| sign so +ve value

But, if there is nothing then the answer in the back of the book is wrong
Also, by smallest I suppose they mean closest to 0, but it should be the furthest to the left on the real line. Thank you for correcting me btw
0
reply
TenOfThem
Badges: 16
Rep:
?
#29
Report 5 years ago
#29
(Original post by Khallil)
Are you sure there isn't a restriction on the values that \theta can take?

Also, by smallest I suppose they mean closest to 0, but it should be the furthest to the left on the real line. Thank you for correcting me btw

If they mean closest to zero they should put |blah| but a better question would have had 20 rather than 2 so that both extremes give a +ve value
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of East Anglia
    All Departments Open 13:00-17:00. Find out more about our diverse range of subject areas and career progression in the Arts & Humanities, Social Sciences, Medicine & Health Sciences, and the Sciences. Postgraduate
    Wed, 30 Jan '19
  • Aston University
    Postgraduate Open Day Postgraduate
    Wed, 30 Jan '19
  • Solent University
    Careers in maritime Undergraduate
    Sat, 2 Feb '19

Brexit: Given the chance now, would you vote leave or remain?

Remain (1336)
79.67%
Leave (341)
20.33%

Watched Threads

View All
Latest
My Feed