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3U Maths Question Thread

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mashal hameed:
Can someone please help me out with this question?

HELPER2020:

--- Quote from: mashal hameed on March 24, 2020, 12:48:28 pm ---Can someone please help me out with this question?

--- End quote ---



https://youtu.be/HZyb8SS1u0M


 :)

shekhar.patel:
Hi,
How do we do this question.
Thank you.

wsdm:

--- Quote from: shekhar.patel on June 10, 2020, 11:01:38 pm ---Hi,
How do we do this question.
Thank you.

--- End quote ---
To start off, we're going to utilise the double angle formulae, i.e.
Next, we add those two together to give
For now, we'll let \(P\) and \(Q\) equal to
Now, adding \(P\) and \(Q\) together to get
We can also multiply the equation for \(Q\) to get
Substituting the values we have found for \(\alpha\) and \(\beta\)
For the second part of question, try and attempt this own your own by substituting values as you would for \(P\) and \(Q\) (\(P=x\) and \(Q=5x\)) and then solve for \(x\).

Don't hesitate to ask for further elaboration. :)

twelftholmes:
hey! this is a question from the 3unit sample paper

Question 8 from multiple choice:
A team of 11 students is to be chosen from a group of 18 students. Among the 18 students are 3 students who are left-handed. What is the number of possible teams containing at least 1 student who is left-handed?

Thanks in advance for any help!

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