Question

11. If tana=xsinb/1-xcosb
and tanb=ysina/1-ycosa,
show that sina/sinb=x/y.
​

Answer 1

Step-by-step explanation:

tanA= 1−xcosBxsinB

cotA= xsinB1−xcosB

= xsinB

1− xsinBcosB

cotA=

xsinB

1

−cotB

cotA+cotB=

xsinB

1

……..(1)

tanB=

1−ycosA

ysinA

cotB=

ysinA

1−ycosA

=

ysinA

1

−cotA

cotA+cotB=

ysinA

1

……..(2)

from (1) and (2)

xsinB

1

=

ysinA

1

sinB

sinA

=

y

x

.