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If A+C=2B, then (cosC-cosA)/(sinA-sinC)=...

If `A+C=2B, then (cosC-cosA)/(sinA-sinC)=`

A

cot B

B

cot 2B

C

tan 2B

D

tan B

Text Solution

Verified by Experts

The correct Answer is:
D
`(cosC-cosA)/(sinA-sinC)=(2sin((A+C)/(2))sin((A-C)/(2)))/(2cos((A+C)/(2))sin((A-C)/(2)))`
`=(2sinB)/(2cosB)=tanB" "[because A+C=2B]`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-FACTORIZATION FORMULAE -EXERCISE 2
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