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If x , y , z are in A.P., then (sinx-sin...

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

A

(a) `tan y`

B

(b) `cot y`

C

(c) `sin y`

D

(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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