Posted by Anamika on Tuesday, December 4, 2012 at 11:46am.
if tangent to the curve y=2sinx +sin2x are drawn at p(x=60degree) then find the area of the quadrilateral formed by the tangent the normal at P and the coordinate axis

maths plse help me..  Steve, Tuesday, December 4, 2012 at 11:57am
y'(x) = 2cosx+2cos2x
y'(pi/3) = 11 = 0
y(pi/3) = √3+√3/2 = 3√3/2
so, we have the axes, and the lines y=3√3/2 and x=pi/3
the rectangle has area pi√3/2

maths plse help me..  Anamika, Tuesday, December 4, 2012 at 12:04pm
plse read the question carefully...its find the area of quadrilateral not the rectangle.

maths plse help me..  Steve, Tuesday, December 4, 2012 at 12:13pm
it happens that the quadrilateral formed by those lines is a rectangle.
the tangent is horizontal and the normal is vertical.
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