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If "cot"(alpha+beta=0, then "sin"(alpha+...

If `"cot"(alpha+beta=0,` then `"sin"(alpha+2beta` can be `-sinalpha` (b) `sinbeta` (c) `cosalpha` (d) `cosbeta`

A

`-sin alpha`

B

`sin beta`

C

`cos alpha`

D

`cos beta`

Text Solution

Verified by Experts

The correct Answer is:
D
`cot(alpha+beta)=0rARr cos(alpha+beta)=0`
`rARr sin(alpha+2beta)=sin(alpha+beta)cosbeta+sin beta cos(alpha+beta)=+-cos beta (because sin (alpha+beta)=+-1)`
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