Question

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:

Options

• A and B

• B and C

• C and D

• D and A

Answer 1

B and C

Explanation:

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.