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  • 13-08-2018
  • Mathematics
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How to prove this sum ???

How to prove this sum class=

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gmany
gmany gmany
  • 14-08-2018

[tex] \text{PROVE:}\ \angle ROS=\dfrac{1}{2}(\angle QOS-\angle POS)\\\\\angle QOR=90^o\\\angle QOS=90^o+\angle ROS\\\angle POS=90^o-\angle ROS\\\\\text{substitute}\\\\\angle ROS=\dfrac{1}{2}[90^o+\angle ROS-(90^o-\angle ROS)]\\\angle ROS=\dfrac{1}{2}(90^o+\angle ROS-90^o+\angle ROS)\\\angle ROS=\dfrac{1}{2}(2\angle ROS)\\\angle ROS=\angle ROS [/tex]

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