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  1. If √3 tan θ = 3 sin θ, then the value of (sin²θ – cos²θ) is
    1. 1
    2. 3
    3. 1
      3
    4. None
Correct Option: C

√3 tanθ = 3 sinθ

⇒√3
sinθ
= 3 sinθ
cosθ

⇒ √3 = 3 cosθ
⇒ cosθ =
√3
=
1
3√3

∴ sinθ = √1 - cos²θ

=
2
-
1
=
1

333


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