Question

2. Find the value of

2 tan 30°
1 - tan²30°
​

Answer 1

Answer:

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 ,

Step-by-step explanation:

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