CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Show that sinθ<θ<tanθ for θϵ(0,π/2)

Open in App
Solution

Consider the circle with unit radius shown in Fig.
From the figure, for any position of C on the circle
Area of OBC< Area of sector OBC< Area of OBD
using the corresponding formulae

12(CE)(OB)<12θ<12(OB)(BD)
12(sinθ)(1)<12θ<12(1)(tanθ)
sinθ<θ<tanθ for θϵ(0,π/2)

292649_148564_ans.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon