Grade 11Trigonometry
Find the principal solution of sin theta = sin2 theta
Find the principal solution of sin theta = sin2 theta
2 Answers
Saurabh Koranglekar
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
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
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
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
Last Activity: 3 Years ago
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
Last Activity: 4 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
Last Activity: 4 Years ago
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
trigonometry
Last Activity: 4 Years ago