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if sin(alpha+beta)=1 and sin(alpha-beta)...

if `sin(alpha+beta)=1 and sin(alpha-beta)=1/2 " "0lealpha,beta,lepi/2,then` find `tan(alpha+2beta)and tan(2alpha+beta)`

Text Solution

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`sin(alpha+beta)=1`
`alpha+beta=pi/2-(1)`
`sin(alpha-beta)=1/2`
`alpha-beta=1/2`
`alpha-beta=pi/6-(2)`
`alpha+beta=pi/2`
from equation 1 and 2
`alpha=pi/3`
...
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