wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If 3π/4<α<π, then 2cotα+1sin2α is equal to

A
1+cotα
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1cotα
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1cotα
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1+cotα
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D 1cotα
2cotα+1sin2α
=2cotα+cosec2α
=1+2cotα+cot2α
=(1+cotα)2
=|1+cotα|.
Since α is in the second quadrant and 3π4<α<π.
Hence, |1+cotα|=1cotα.

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