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Question

In a ΔABC, B=π3 and C=π4. If point D divides BC internally in the ratio 1:3, then sinBADsinCAD is equal to

A
1/6
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B
1/3
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C
1/3
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D
2/3
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Solution

The correct option is D 1/6
Applying sine rule in ABD, we get psinBAD=ADsin60o....(1)
Applying sine rule in CAD, we get 3psinCAD=ADsin45o....(2)
Dividing (2) by (1), we get 3sinBADsinCAD=sin60osin45o
.
sinBADsinCAD=13×32×2=16
145150_155006_ans.png

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