Verify the inequality : sinx<1/2cosx.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have to verify sin x < 1 / 2 cos x.

sin x < 1 / 2 cos x

=> 2 sin x * cos x < 1

=> sin 2x < 1

But sin 2x can also be equal to 1.

Note: Therefore the inequality should be sin...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

We have to verify sin x < 1 / 2 cos x.

sin x < 1 / 2 cos x

=> 2 sin x * cos x < 1

=> sin 2x < 1

But sin 2x can also be equal to 1.

Note: Therefore the inequality should be sin x < = 1/2 cos x.

We therefore prove that sin x < = 1/ 2 cos x.

Approved by eNotes Editorial Team