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Consider the following : 1. tan((p...

Consider the following :
1. `tan((pi)/(6))`
2. `tan((3pi)/(4))`
3. `tan((5pi)/(4))`
`tan((2pi)/(3))`
What is the correct order ?

A

`1lt4lt2lt3`

B

`4lt2lt1lt3`

C

`4lt2lt3lt1`

D

`1lt4lt3lt2`

Text Solution

Verified by Experts

The correct Answer is:
B
1. `tan((pi)/(6))=(1)/(sqrt(3))" "2.tan((3pi)/(4))=-1`
3. `tan((5pi)/(4))=1 " " 4.tan((2pi)/(3))=-sqrt(3)`
`-sqrt(3)lt-1lt(1)/(sqrt(3))lt1`
Hence , `4 lt 2lt 1lt 3`
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