Guest

Find the principal solution of sin theta = sin2 theta

Find the principal solution of sin theta = sin2 theta

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Expand rhs as 2 sin( theta) cos ( theta)

Now eqn is cos(theta) = 1/2

Or sin (theta ) = 0

Principal solutions 0, 60, 180, 300, 360

Regards
Arun
25750 Points
4 years ago
 
Dear student
 
sin x = sin 2x
 
sin x = 2 sin x cos x
 
sin x ( 1 – 2 cos x) = 0
 
sin x = 0
or cos x = ½
 
hence x = 0, pi
or x = 330

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free