Question and Answers Forum

All Questions      Topic List

Geometry Questions

Previous in All Question      Next in All Question      

Previous in Geometry      Next in Geometry      

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!

$${A}=\mathrm{sin}\:\theta\mathrm{cos}\:\theta+\mathrm{sin}\:\phi\mathrm{cos}\:\phi \\ $$$$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{sin}\:\mathrm{2}\theta+\mathrm{sin}\:\mathrm{2}\phi\right) \\ $$$${Yes}\:{Sir},\:{quite}\:{apparent},\:{thanks}! \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com