CTinTin14
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It is C2 AQA. Can you help me how to sketch the graphs of:

sin(2x-180)=y

tan1/2x=y

and

1-tan1/2x=y

Please tell me how to do it
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Kevin De Bruyne
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(Original post by CTinTin14)
It is C2 AQA. Can you help me how to sketch the graphs of:

sin(2x-180)=y

tan1/2x=y

and

1-tan1/2x=y

Please tell me how to do it
Do you know how transformations of graphs for non-trig functions work? Then transforming trig is really similar, just a bit more complicated.
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CTinTin14
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(Original post by SeanFM)
Do you know how transformations of graphs for non-trig functions work? Then transforming trig is really similar, just a bit more complicated.
Yes i do know
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Kevin De Bruyne
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(Original post by CTinTin14)
Yes i do know
Okay, so for sin(2x-180), what does the 2x do to the sin(x) graph? What happens after that's been done?

Edit: Misleading. See below.
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CTinTin14
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(Original post by SeanFM)
Okay, so for sin(2x-180), what does the 2x do to the sin(x) graph? What happens after that's been done?
Stretch the graph in the X direction by 1/2
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Kevin De Bruyne
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(Original post by CTinTin14)
Stretch the graph in the X direction by 1/2
Correct Now what does the -180 do?
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CTinTin14
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(Original post by SeanFM)
Correct Now what does the -180 do?
shifts the curve to the right, so the curve will cut at 180
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Kevin De Bruyne
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(Original post by CTinTin14)
shifts the curve to the right, so the curve will cut at 180
Bingo. So can you sketch the transformation? It may help to do it in stages.
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CTinTin14
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(Original post by SeanFM)
Bingo. So can you sketch the transformation? It may help to do it in stages.
Okay. Thank you!

How do I do 1-tan1/2x=y
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atsruser
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(Original post by SeanFM)
Okay, so for sin(2x-180), what does the 2x do to the sin(x) graph? What happens after that's been done?
I'm not quite sure what you're suggesting here, but it looks to me like you are getting the order of transformation wrong. The required order is either:

x \rightarrow x-180, x \rightarrow 2x

or:

x \rightarrow 2x, x \rightarrow x-90

(since \sin(2x-180) = \sin(2(x-90)))
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Kevin De Bruyne
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(Original post by atsruser)
I'm not quite sure what you're suggesting here, but it looks to me like you are getting the order of transformation wrong. The required order is either:

x \rightarrow x-180, x \rightarrow 2x

or:

x \rightarrow 2x, x \rightarrow x-90

(since \sin(2x-180) = \sin(2(x-90)))
I was suggesting that it was 2x first and then 180, but I must have gotten confused. Sorry.
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