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… mistake in final answer due to use of incorrect double angle formula for cos
… shud be cos 2x = 2(cos x)^2 -1
… it is good practice to give answer in the same format as the question … this question gives angle in radians so answer should also be in radians.
… shud be cos 2x = 2(cos x)^2 -1
… it is good practice to give answer in the same format as the question … this question gives angle in radians so answer should also be in radians.
Probably a slight transcript error in writing cos 2x = cos^2 x - 1
done
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clear
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although the final answer for the angle seems a bit unusual, a check against a computer plot of the curve shows that the answer to be correct.
the computer plot of the curve is shown for reference.
the computer plot of the curve is shown for reference.
Date Posted:
4 years ago
we use dA/d0 = 0 to find the turning point.
although the question does not state that it is necessary to check that this turning point is a maximum point, it is a good practice to do a final check using 1st or 2nd derivative test. this helps to check in case we have made a mistake in the working somewhere.
although the question does not state that it is necessary to check that this turning point is a maximum point, it is a good practice to do a final check using 1st or 2nd derivative test. this helps to check in case we have made a mistake in the working somewhere.