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Question

If tanA=xsinB1xcosB and tanB=ysinA1ycosA then sinAsinB= ________.

A
xy
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B
yx
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C
x+y
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D
xy
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Solution

The correct option is A xy
tanA=xsinB1xcosB
cotA=1xcosBxsinB=1xsinBcosBxsinB
cotA=1xsinBcotB
cotA+cotB=1xsinB ……..(1)
tanB=ysinA1ycosA
cotB=1ycosAysinA=1ysinAcotA
cotA+cotB=1ysinA ……..(2)
from (1) and (2)
1xsinB=1ysinA
sinAsinB=xy.

1025224_1112190_ans_e51564f4c09c4c489580f137582a2b90.jpg

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