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Draw the graph of y=sin(sin^(-1)x) or y=...

Draw the graph of `y=sin(sin^(-1)x)` or `y=cos(cos^(-1)x)`

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`y = sin(sin^(-1)y)`
Clearly, the domain of the function is [-1,1].
`"Now "-1le x le 1`
`therefore" "pi/2lesin^(-1)xlepi/2`
`therefore" "-1lesin(sin^(-1)x)le1`
`"Also "f(x) = sin (sin^(-1)x)=x, "for "x in [-1, 1]`
`y=cos (cos^(-1)x)`
Clearly the domin of the function is [-1, 1].
`"Now "-1lexle1`
`therefore" "0lecos^(-1)xlepi`
`therefore" "-1lecon(cos^(-1)x)le1`
Also `f(x) =cos (cos^(-1)x)=x, for x in [-1, 1]`
Thus, the grah of both the functions is `t=x for `x in [-1, 1]`
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CENGAGE PUBLICATION-GRAPH OF INVERSE TRIGONOMETRIC FUNCTIONS-Exercises
  1. Draw the graph of y=sin(sin^(-1)x) or y=cos(cos^(-1)x)

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  2. Draw the graph of y=tan^(-1)x-cot^(-1)x.

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  3. Find the number of real solutions to the equation 3cos^(-1)x-pix-pi/2=...

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  4. Evalute [lim(xto0) (sin^(-1)x)/(x)]=1, where[*] represets the greatest...

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  5. Solve tan^(-1)xgtcot^(-1)x graphically. Also find where f(x) = max. [t...

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  6. Match the colums.

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  7. Draw the graph of y=cos^(-1)sqrt(log([x])(|x|/x)) where [*] represents...

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  8. Find the value of int(0)^(100pi)sin^(-1)(sin x)dx.

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  9. Draw the graph of y=sin^(-1)((1)/(x))

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  10. Draw the graph of y=sin^(-1)(x^(2))

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  11. Draw the graph of y=cos^(-1)x^(3)" and compare with the graph of "y=co...

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  12. Draw the graph of y=cos^(-1)(2^(x)).

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  13. Draw the graph of y=cos^(-1){x}," where "{*}" represents the fractiona...

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  14. If cos^(-1)(cos x)=(n-x)/n,xge0, has seven roots, then find values of ...

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  15. Draw the graph of f(x)=[cot^(-1)x]," where "[*] represents the greate...

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  16. Draw the graph of y="cosec"("cosec"^(-1)x)" or "y=sec(sec^(-1)x).

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  17. Draw the graph of f(x) =cot^(-1)((2-|x|)/(2+|x|)).

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  18. Draw the graph of y=sin^(-1)(2xsqrt(1-x^(2)))

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  19. Draw the graph of y=(3x-x^(3))/(1-3x^(2)) and hence the graph of y=tan...

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