CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Find real θ such that
3+2isinθ12isinθ is purely real.

Open in App
Solution

3+2isinθ12isinθ
=(3+2isinθ)(1+2isinθ)(1+2isinθ)(12isinθ)
=3+2isinθ+6isinθ+4i2sin2θ14i2sin2θ
=3+8isinθ4sin2θ1+4sin2θ
=34sin2θ+8isinθ1+4sin2θ
8sinθ=0sinθ=0
θ=nπ

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Properties of Conjugate of a Complex Number
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon