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In ∆ABC, right angled at A
tanC =√3
tan C = opposite side/adjacent side
Let x be the hypotenuse
By applying the Pythagoras Theorem, we get,
BC²=BA²+AC²
x²= √3+ 1²
x²=∆
=>x=2
at angle B sinB =AC/BC =1/2
cosB= √3/2
at angleC sin =√3/2
cosC=1/2
on substitution we get,
1/2×1/2+√3/2×√3/2
=>1/4×√3/4 ×(√3)
= √3×√3+1/4
=3+1/4
=4/4
=1
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