AS LEVEL MATH CIE . Paper 1

Original post by Universecolors

The function g is defined by g:x →c+d sinx for x∈R . The range of g is given by−4≤g(x)≤10

Can someone tell me how to do it , I know that I should use simultaneous equations but what about the sinx , I just don’t know how to solve it , can someon please tell me

sin x can go between -1 and 1. Your range has length 14. That should help you to find d.

Reply 2

OP

Original post by tiny hobbit

sin x can go between -1 and 1. Your range has length 14. That should help you to find d.

So I should write c+dSIN(-1)=4 and the other the other way round ?

Reply 3

OP

Original post by Universecolors

So I should write c+dSIN(-1)=4 and the other the other way round ?

Can you please tell me how

Reply 4

Original post by Universecolors

Can you please tell me how

c + d(-1) = -4 and c + d(1) = 10 if you want simultaneous equations.

Reply 5

OP

Original post by tiny hobbit

c + d(-1) = -4 and c + d(1) = 10 if you want simultaneous equations.

Thank you very much , it will be the same if that sine was cosine right ?

Reply 6

Original post by Universecolors

Thank you very much , it will be the same if that sine was cosine right ?

Yes

Reply 7

OP

Original post by tiny hobbit

Yes

Alright thank you

Reply 8

OP

Original post by tiny hobbit

c + d(-1) = -4 and c + d(1) = 10 if you want simultaneous equations.

But what it was tan , sorry to bother with all these questions

Reply 9

Original post by Universecolors

But what it was tan , sorry to bother with all these questions

It couldn't be asked for tan, since tanx goes between - infinity and + infinity

Reply 10

OP

Original post by tiny hobbit

It couldn't be asked for tan, since tanx goes between - infinity and + infinity

Alright then , good to know , thanks

Reply 11

giavann

10

how was the exam guys

Reply 12

Found it much harder than any of the past papers I did and unusually long. I don't know if I'm the only one.. How was the paper for you?

Reply 13

I'm surprised that know one is discussing the paper yet. Thought there would be some outrage over the difficulty level lol

Reply 14

TheDoublethinker

11

I found it much harder than previous papers too. Normally on previous papers there would only be one or two questions I would have to take longer to think. I found most of the questions on these ones were not straight forward. I did paper 12.

Reply 15

I did paper 12 too. I wonder if the other variants were any better. I think the grade boundaries will probably be very low this time-- i'm guessing 45/50 for an A. I don't know if that's a stretch

I meant 45 or 50

Also, there was a question where you had to find n and k with the equation of a perpendicular bisector and two points A and B. I got a quadratic equation which I couldn't solve-- anyone else had the same problem?

I think I got 108x^2+84x+24 as my equation which I further simplified.

Reply 18

OP

Original post by Genies

Also, there was a question where you had to find n and k with the equation of a perpendicular bisector and two points A and B. I got a quadratic equation which I couldn't solve-- anyone else had the same problem?

I think I got 108x^2+84x+24 as my equation which I further simplified.

What did u get for the first question

Reply 19