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Mathematics

For acute angles α and β, if α > β, then :

A : cos α > cos β

B : tan α > tan β

C : sin α > sin β

D : cot α > cot β

Which of the above statement/statements is/are true :

  1. A and B

  2. B and C

  3. C and D

  4. D and A

Trigonometric Identities

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Answer

For acute angles,

Greater the angle, greater is the sine and tangent of the angle.

Since,

α > β

∴ tan α > tan β

∴ sin α > sin β.

Hence, Option 2 is the correct option.

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