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joachimngeny
 one year ago
can someone help with this.
find the smallest solution, the largest solution and the number of solutions for x in the interval 0 ≤ x ≤ 2π
joachimngeny
 one year ago
can someone help with this. find the smallest solution, the largest solution and the number of solutions for x in the interval 0 ≤ x ≤ 2π

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joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1im stuck with the second solution

madhu.mukherjee.946
 one year ago
Best ResponseYou've already chosen the best response.0am i wrong

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@madhu.mukherjee.946 i just realised i didnt attach the equation sin(7 x) = 0.64

madhu.mukherjee.946
 one year ago
Best ResponseYou've already chosen the best response.0ok now its f9

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@Michele_Laino i just realise that i have to give answer in radian

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4hint: dw:1440747531526:dw

madhu.mukherjee.946
 one year ago
Best ResponseYou've already chosen the best response.0did you get the value of x

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4the smallest solution (in radians) is: \[\Large {x_1} = \frac{1}{7}\arcsin \left( {0.64} \right) = 0.0992\]

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1i got x1 = 0.10 and X2= 3.04

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4whereas the second one, is: \[\Large {x_2} = \pi  0.0992 = ...?\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4I have used windows calculator and the "radians" option

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4your answer is correct!

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4since you have used approximated values

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@Michele_Laino apparently my answer is partially wrong.

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1I must have rounded it off wrong or something

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4yes! you have rounded off the smallest solution, nevertheless it is not a wrong answer

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@Michele_Laino could you show me how to get it right, using radian? Becuase i found the angles in degree then i changed it to radians that probably why im losing marks

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4here is the right setting on windows calculator

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@Michele_Laino is that what you got for the smallest value?

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1im on mac computer atm

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4no, it is the smallest value multiplied by 7, namely: 7*x1=0.6944

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4as you can see from my image, there is the formula: "asinr(0.64)" at the upper right corner

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4now, in order to get the value of x1, you have to divide 0.694498... by 7, so you get this: 0.0992...

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1yes i understand. this is what i answered

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1what i did seem right, yeah?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4please wait a moment, I have to answer to my phone...

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@Michele_Laino did you see my previous reply

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4yes! I see, I'm sorry the second solution is: \[\Large 7{x_2} = \pi  7{x_1} = \pi  \left( {7 \cdot 0.0992} \right) = ...?\] because, from my drawing above I get these values: \[\Large 7{x_1},7{x_2}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4therefore: \[\Large \begin{gathered} {x_1} = \frac{1}{7}\arcsin \left( {0.64} \right) = 0.0992, \hfill \\ \hfill \\ {x_2} = \frac{{\pi  \left( {7 \cdot 0.0992} \right)}}{7} \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4number of solution is correct, namely, we have 14 solutions

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4and the highest solution is: \[\Large {x_2} + 6 \cdot \frac{{2\pi }}{7}\]

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1I don't know why it says partially wrong.

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@Michele_Laino but isnt that outside the range? 0 > 2pi?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4I think that tne first value, namely 0.1 is right, the third value, namely 14 is also right, you have to correct the second value, namely: \[\Large {x_2} + 6 \cdot \frac{{2\pi }}{7} = \frac{{\pi  \left( {7 \cdot 0.0992} \right)}}{7} + 6 \cdot \frac{{2\pi }}{7} = 5.735\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.4namely 3.04 is wrong, please replace it with 5.735

joachimngeny
 one year ago
Best ResponseYou've already chosen the best response.1@Michele_Laino ok thank you. I appriciate your help
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