Length in 1st quadrant of circle r=sin ? + cos ?

MAC-A-TAC

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I need help finishing the solution to the attached problem.
Am I correct in my solution thus far? :?
Thank you for your help.
 

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    Length in 1st quadrant.GIF
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MAC-A-TAC said:
I need help finishing the solution to the attached problem.
Am I correct in my solution thus far? :? >>>> No
Thank you for your help.

[2 cos(x) - 4 sin(x)][sup:2zz575mx]2[/sup:2zz575mx] + [2 sin(x) + 4 cos(x)][sup:2zz575mx]2[/sup:2zz575mx]

= 4 cos[sup:2zz575mx]2[/sup:2zz575mx](x) - 16 sin(x)cos(x) + 16sin[sup:2zz575mx]2[/sup:2zz575mx](x)
+4 sin[sup:2zz575mx]2[/sup:2zz575mx](x) + 16 sin(x)cos(x) + 16cos[sup:2zz575mx]2[/sup:2zz575mx](x)

= 4 + 16 = 20
 
Would someone please walk me through the solution for the attached problem.
I am at the point in the solution where I am trying to clear the radical.

Thank you for your help.
 

Attachments

  • Length of circle in 1st quadrant.GIF
    Length of circle in 1st quadrant.GIF
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Hintaroo: \(\displaystyle cos^2\theta + sin^2\theta = 1\)
 
Still require help on this.
I tried that and end up with 2?5 which does not allow me to plug in the limits because there is no variable.

Thank you for your help.
 
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