find the value of 2tan 30/1-tan^2 30
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Answered by
1
root 3 is the ans
as tan 30 is 1/root 3
as tan 30 is 1/root 3
hugo1:
please long step
did you understand the solution or should i elaborate it?
Answered by
31
Hi ,
Tan 30° = 1/√3
2tan30°/1- tan² 30°
= [ 2 × 1/√3 ] / [ 1- ( 1/√3 )² ]
= [ 2/√3 ] /[ 1 - 1/3 ]
= ( 2/√3 ) / [ ( 3-1 ) /3 ]
= ( 2/√3 ) / ( 2/3 )
= ( 2/√3 ) ( 3/2 )
= 3/√3
= ( √3 × √3 ) / √3
= √3
I hope this helps you ,
:)
Tan 30° = 1/√3
2tan30°/1- tan² 30°
= [ 2 × 1/√3 ] / [ 1- ( 1/√3 )² ]
= [ 2/√3 ] /[ 1 - 1/3 ]
= ( 2/√3 ) / [ ( 3-1 ) /3 ]
= ( 2/√3 ) / ( 2/3 )
= ( 2/√3 ) ( 3/2 )
= 3/√3
= ( √3 × √3 ) / √3
= √3
I hope this helps you ,
:)
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