Daily Graph 19-02-09

Draw the graph of.
sin3x cosx + cos3x sinx = 1

17 Answers

39
Dr.House ·

if this is the case, it is sin(x+y)=a

106
Asish Mahapatra ·

21
tapanmast Vora ·

SLOPE OF THE GRAF : -1 thruout......

intercepts change..........

as

2nÎ + sin-1a
or
(2n+1)Î - sin-1a

provided -1<=a>=1

11
Mani Pal Singh ·

sir for my prospect a SHOULD be mentioned

62
Lokesh Verma ·

btw the graph was wrong :)

ashish posted this scrap to me to tell me :)

1
skygirl ·

wow!! this graph thread is looking so beautiful !! all pink pink...

btw ... nice questions :)

62
Lokesh Verma ·

good work ashish..

:)

21
tapanmast Vora ·

wat timing!!!

1:35
1:36
1:36

LOL

106
Asish Mahapatra ·

x+y = 2nÎ + sin-1a
or
(2n+1)Î - sin-1a

So, it will be infinite no. of straight lines of two types:
TYPE 1:
slope = -1
parallel to line of y-intercept = sin-1a at regular y-intercepts of 2Î

TYPE 2:
slope = -1
parallel to line of y-intercept = Î -sin-1a at regular y-intercepts of 2Î

39
Dr.House ·

this is sinxcosx=1

39
Dr.House ·

cubes bhool gaye kya? or this is the question??????????

62
Lokesh Verma ·

because this one is a sitter for a graph of the day question.. lets do some more varaitions.

sinx. cosy + cosx siny = a

draw the graph

106
Asish Mahapatra ·

if it is 2,
then sin2x= 4 again does not exist.

106
Asish Mahapatra ·

general.....
sinxcosx=a
==>sin2x = 2a
So, -1/2≤a≤1/2 then only it is possible.
Then x = nÎ /2 + (-1)nsin-1a/2

21
tapanmast Vora ·

[11] [11] [11] [11] [11] [11] [11] [11] [11] [11] [11] [11] [11] [11]

that means 2sinxcosx = 2;

sin(2x) = 2;

thats not possible

null graf???????

62
Lokesh Verma ·

How about

sin3x cosx + cos3x sinx =2

and

sin3x cosx + cos3x sinx =a

106
Asish Mahapatra ·

there is no solution according to me...
Bhaiyya what am i getting??
sinxcosx=1
==>2sinxcosx=2
==>sin2x=2 which is impossible so no solution...
kya yeh sahi hai?

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