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cos(alpha-beta)=1a n dcos(alpha+beta)=l/...

`cos(alpha-beta)=1a n dcos(alpha+beta)=l/e ,` where `alpha,betamu in [-pi,pi]` . Number of pairs of `alpha,beta` which satisfy both the equations is 0 (b) 1 (c) 2 (d) 4

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`cos(alpha-beta)=1`
`cos(alpha-beta)=cos0`
`alpha-beta=0`
`alpha=beta`
`cos(alpha+beta)=1/e`
`cos2alpha=1/e`
`alpha=beta=4`
Option D is correct.
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