1.

Which of the following statements are correct? A \( \quad \sin 1>\sin 1^{\circ} \)B \( \tan 2<0 \)C \( \tan 1>\tan 2 \)D \( \tan 2<\tan 1<0 \)

Answer»

Correct option is (A) sin 1 > sin 1°

Relation between degree and radian is

180° = π radian

⇒ 1° = π/180 radian = 3.14/180 < 1

⇒ 1° < 1

∴ sin 1° < sin 1 ( ∵ tan θ is always increasing function)

 ∵ 2 > 0

∵ 2 > 1 > 0

⇒ tan 2 > tan 1 > tan 0

⇒ tan 2 > tan 1 > 0



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