traingal ABC right angled at c tanA=1√3 find the value of sina×cosb+ cosa× sinb
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sinA.cosB+ cosA.sinB
sin A = BC/AB =1/2
cos B =BC/AB = 1/2
sin B = AC/AB = root 3/2
cos A= AC/AB = root 3/2
=1/2 x 1/2 + root 3/2 x root 3/2
=1/4 + 3/4
=4/4
=1
sin A = BC/AB =1/2
cos B =BC/AB = 1/2
sin B = AC/AB = root 3/2
cos A= AC/AB = root 3/2
=1/2 x 1/2 + root 3/2 x root 3/2
=1/4 + 3/4
=4/4
=1
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Given,∠C=90° and tan A=1√3
sinAxcosB+cosAxsinB
By an trigonometric identity,
sin(A+B)=sin90°=1
sinAxcosB+cosAxsinB
By an trigonometric identity,
sin(A+B)=sin90°=1
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