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Point D,E are taken on the side BC of an...

Point D,E are taken on the side BC of an acute angled triangle ABC,, such that `BD = DE = EC`. If `angle BAD = x, angle DAE = y and angle EAC = z` then the value of `(sin(x+y) sin (y+z))/(sinx sin z)` is ______

A

1

B

2

C

4

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
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  16. If in a !ABC , cosA=(sinB)/(2sinC) then the !ABC , is

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