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Question-124329




Question Number 124329 by ajfour last updated on 02/Dec/20
Commented by ajfour last updated on 02/Dec/20
Find maximum of shaded area.
$${Find}\:{maximum}\:{of}\:{shaded}\:{area}. \\ $$
Commented by mr W last updated on 02/Dec/20
should it not be (1/2)×2×1=1?
$${should}\:{it}\:{not}\:{be}\:\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{2}×\mathrm{1}=\mathrm{1}? \\ $$
Answered by ajfour last updated on 02/Dec/20
A=sin θcos θ+sin φcos φ      =(1/2)(sin 2θ+sin 2φ)  Yes Sir, quite apparent, thanks!
$${A}=\mathrm{sin}\:\theta\mathrm{cos}\:\theta+\mathrm{sin}\:\phi\mathrm{cos}\:\phi \\ $$$$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{sin}\:\mathrm{2}\theta+\mathrm{sin}\:\mathrm{2}\phi\right) \\ $$$${Yes}\:{Sir},\:{quite}\:{apparent},\:{thanks}! \\ $$

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