If π≤θ≤3π2 then √
⎷1+cosθ1−cosθ+√1−cosθ1+cosθ is equal to :
A
2 cosecθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
-2 cosecθ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2 secθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
−secθ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B -2 cosecθ Given expression =(1+cosθ)+(1−cosθ)√1−cos2θ =2sinθ ∵θ in the 3rd quardrant,so sinθ is negative ∴ Given expression =−2sinθ=−2cosecθ