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If `x , y , z` are in A.P., then `(sinx-sinz)/(cosz-cosx)` is equal to `tany` (b) `coty` (c) `siny` (d) `coty`

A

`tan y`

B

`cot y`

C

`sin y`

D

`cos y`

Text Solution

Verified by Experts

The correct Answer is:
B
`(sinx-sinz)/(cosz-cosx)=(2cos((x+z)/(2))sin((x-z)/(z)))/(2sin((x+z)/(z))sin((x-z)/(z)))`
`=cot((x+z)/(2))=cot(y)`
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