CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

If sin θ=0.8 and cot θ<0, thenthe value of sin 2θ is.

A
0.64
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.96
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
-0.96
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
-0.64
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C -0.96
Given sin θ=0.8 and cot θ<0.
This means θ lies in the second quadrant.
Now we know the identity sin 2θ=2sin θcos θ.
Then we will calculate cos θ from the identity sin2θ+cos2θ=1cos θ=±1sin2θ
Since θ lies in the second quadrant thus cos θ<0.

cos θ=1sin2θcos θ=10.82cos θ=0.6
Thus, sin 2θ=2sin θcos θsin 2θ=2×0.8×0.6=0.96
Hence, sin 2θ=0.96.

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