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Cie math P1

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thecandydoll:
Paper 1 Pure math !
Summer :May/JUNE 2010
Paper 12.
Question 11,How do solve the whole thing I dont get it :(

elemis:
Okay. Hang on.

elemis:
(i) 4-3sinx = 2

Hence, 4-2=3sinx  I re-arranged the equation

2/3 = sinx 

sin-1 2/3 = 41.8, 138.2 degrees

Converting to radians gives: 0.730 and 2.41 respectively.

elemis:
(ii) Basically you reflect a regular sine graph in the x axis. Then multiply each Y coordinate by 3.

After that vertically move the graph by 4 units.

elemis:
(iii)

Basically they are asking you to find the range of y coordinates for which the Sine Graph has no x values.

Looking at my picture we can see that the graph has no point below the y coordinate of 1 or above the y coordinate of 7.

Hence k > 7 , k < 1

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