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Find AB.
AB = 2rcos@
Area of sector ABC = 4@r^2cos^2@
Area of triangle BOA = r^2cos@sin@
Area of sector OBA = 1/2r^2(pi - 2@)
Aera of segment = area of sector OBA - Area of triangle BOA = r^2(1/2(pi - 2@) - cos@sin@)
Area of 2 segements = 2 *r^2(1/2(pi - 2@) - cos@sin@)
Total shaded region = Aera of sector ABC + area of 2 segments = 2r^2(pi/2 - @ - cos@sin@) + 4@r^2cos^2@
Now manipulate it to get r^2(pi - sin2@ + 4@cos^2@ - 2@)
Now we know Total area of shaded region = 1/2 * pir^2
So r^2(pi - sin2@ + 4@cos^2@ - 2@) = 1/2 * pir^2
So manipulating this will give us cos2@ = 2sin2@ - pi/4@
P.S. I am in hurry.. If u have any doubts in this ask me. Just to make sure in triangle OBA there are 2@ drawn in diagram below the third angle will be pi - 2@ so maybe if this can arise as ur doubt, this is the solution to it. (area of segment OBA))
I dont know how to do this but seriously though how do you use that spoiler button?
[spoiler] Insert Image/Stuff here [/spoiler][code]
To find the volume of the cone, the formula is V = 1/3 * h * pi * r^2.How is v=pi*h^3
To find the volume of the cone, the formula is V = 1/3 * h * pi * r^2.
From above diagram you can see r = h*tan60 = sqrt(3) * h
So substituting this into above formula gives: V = 1/3 * h * pi *(sqrt(3) * h)^2 = pi*h^3
Part B.
I didnt get the modulus of AC and AB part. Can u explain it a bit
Okay forget modulus.I didnt get the modulus of AC and AB part. Can u explain it a bit
Because x = 2.5 is out of the domain of f(x).Q9 (iii). When you solve the equation the two values of x are +2.5 and -2.5. So -2.5 <x <+2.5 should be the answer but in the mark scheme it's -2.5 <x <0. Why is the upper limit 0 and not 2.5?View attachment 60042
Ummm but it is in the domain of g (x) why not consider that?Because x = 2.5 is out of the domain of f(x).
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