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Question

Find the value of sin60o geometrically.

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Solution


Draw an equilateral ABC
In ADB,D=90o
Let a be the side of equilateral triangle.
AB=BC=AC=a
AB2=AD2+BD2

a2=AD2+(a2)2

AD2=a2(a2)2

AD2=a2a24

AD2=3a24

AD=3a2

sin60o=Opp.sideHypotenuse=ADBD=3a2a

sin60o=32

959880_1042080_ans_e697e43f10dd438b845836187b540c65.jpeg

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