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  1. If π sinθ = 1, π cosθ = 1, then the value of 3tan
    2 θ
    + 1 is
    3

    1. 1
    2. 3
    3. 2
    4. 1
      3
Correct Option: C

πsin θ = 1 and πcos θ = 1

πsin θ
= 1
πcos θ

∴ tan θ = 1 = tan 45°
⇒ θ = 45°
∴ √3tan
2 θ
+ 1
3

= √3tan
2 × 45°
+ 1 = √3 tan30° + 1
3

Required answer = √3 ×
1
+ 1 = 1 + 1 = 2
3



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