If theta lies in the first quadrant , which of the following is true (a) theta / - Maths - Introduction to Trigonometry

Question

If theta lies in the first quadrant , which of the following is
true? (a) theta / 2 < tan ( theta/2) (b) theta/2 < sin (
theta/2) (c) theta cos ^2 ( theta/2) < sin theta (d) theta sin (
theta/2) < 2 sin ( theta/2)

Anuradha Sharma · Accepted Answer

Dear Student,
<img src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ana_qa_image_57b2f07752c35%20png">

So a is true
Regards

If theta lies in the first quadrant , which of the following is true? (a) theta / 2 < tan ( theta/2) (b) theta/2 < sin ( theta/2) (c) theta cos ^2 ( theta/2) < sin theta (d) theta sin ( theta/2) < 2 sin ( theta/2)