Find cosec 30 degree and cos 60 degree geometrically
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Consider a triangle with each side equal to 2a.
<A=<B=<C=60°
Draw AD perpendicular to BC.
∆BDA~=~∆CDA by RHS.
So, BD= CD
and, <BAD=<CAD =30° by CPCT.
By Pythagoras theorem,
AD=√3a
In ∆BDA,
cosec 30°=AB/BD =2a/a =2
and, cos 60°=BD/AB=a/2a=1/2
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