1. Find the equation of the tangent to the curve y = sin (pi - x) when x = pi/6.
2. Find the exact area bounded by the curve y = 2 cos x, the x axis, the y axis and the line x = pi/3.
3. Find the exact volume of the solid of revolution formed when the curve y = (sin 2x)^1/2 is rotated about the x axis from x = 0 to x = pi/6.
2. Find the exact area bounded by the curve y = 2 cos x, the x axis, the y axis and the line x = pi/3.
3. Find the exact volume of the solid of revolution formed when the curve y = (sin 2x)^1/2 is rotated about the x axis from x = 0 to x = pi/6.