Daily Graph 15-02-09

draw the graph of

tan-1( sin x )

7 Answers

21
tapanmast Vora ·

y ε [-Π/4, Π/4]
passes thru orign

13
Двҥїяuρ now in medical c ·


passing through origin....f(x) ε [-Π/4, Π/4]

1
skygirl ·

not exactly sinusoidal ....

24
eureka123 ·

Domain=R
Range=[-pi/4 ,pi/4]
Roots=Same as sinx
Period=2pi
Odd function
y'=cosx/1+sin2x
y'=0 =>cosx=0 =>x=pi/2,3pi/2..........
y"(x=pi/2)<0 =>Maxima point
y"(x=3p/2)>0 =>Minima point

So it looks that graph is same as sinx.....[1]

11
Subash ·

it should be y=x/√(1-x2)

62
Lokesh Verma ·

no subash..

It has to be periodic as well..

According to you the domain will only be (-1, 1)..

but it seems pretty obvious that the domain is whole R

24
eureka123 ·

i have already mentiod taht period is 2pi sir..........[1]

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