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tan(alpha+beta)=root 3, tan(alpha-beta)=1 ten what is tan6 beta

tan(alpha+beta)=root 3, tan(alpha-beta)=1 ten what is tan6 beta

Grade:11

1 Answers

sonika p
129 Points
4 years ago
if (alpha+beta) and (alpha-beta) belongs to [0,pi/2] interval then,
tan(alpha+beta)=root 3 implies (alpha+beta)=60........(1)
tan(alpha-beta)=1 implies (alpha-beta)=45............(2)
subtracting equation (2) from (1) we get,
2 beta =15
6beta=45
tan 6beta=1
 

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