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Construct-an-angle-whose-sine-is-3-2-5-




Question Number 206971 by MATHEMATICSAM last updated on 02/May/24
Construct an angle whose sine is  (3/(2 + (√5))) .
Constructananglewhosesineis32+5.
Answered by Rasheed.Sindhi last updated on 02/May/24
sinθ= (3/(2 + (√5)))  •θ is an angle of a right triangle  whose hypotenuse is 2+(√5) and  opposite side is 3  • (√5) is a hypotenuse of a right   triangle having legs 2 and 1  ▶Draw a right triangle having  legs 2 and 1. Extend its hypotenuse  (√5)  to (√5) +2.  Draw semicircle on line segment  AB^(−)  having measre (√5) +2  Cut off 3 units from B of semicircle  at C.  Join C to A and B  ∠BAC is a required angle.
sinθ=32+5θisanangleofarighttrianglewhosehypotenuseis2+5andoppositesideis35isahypotenuseofarighttrianglehavinglegs2and1Drawarighttrianglehavinglegs2and1.Extenditshypotenuse5to5+2.DrawsemicircleonlinesegmentABhavingmeasre5+2Cutoff3unitsfromBofsemicircleatC.JoinCtoAandBBACisarequiredangle.
Commented by Rasheed.Sindhi last updated on 02/May/24
Commented by MATHEMATICSAM last updated on 02/May/24
Thank you!
Thankyou!

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