Question:
For x ∈ (0, π), the equation sin x + 2sin2x −sin3x = 3 has
For x ∈ (0, π), the equation sin x + 2sin2x −sin3x = 3 has
Updated On: Jul 12, 2025
Infinitely many solutions
Three solutions
One solution
No solution
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct answer is option D) No solution
The least value of R.H.S is 3 at x = π/2 while the greatest value of L.H.S is 3 at x = π/3.
Hence, L.H.S and R.H.S are not equal at the same value of x. so, no solution
Was this answer helpful?
0
1
Top Questions on Trigonometric Identities
- Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]
- CBSE Class X - 2025
- Mathematics
- Trigonometric Identities
- The value of \( (\sin 70^\circ)(\cot 10^\circ \cot 70^\circ - 1) \) is:
- JEE Main - 2025
- Mathematics
- Trigonometric Identities
- If $ \tan \theta + \cot \theta = 4 $, then find the value of $ \tan^3 \theta + \cot^3 \theta $.
- BITSAT - 2025
- Mathematics
- Trigonometric Identities
- Find the value of $ \sin 75^\circ \cos 15^\circ + \cos 75^\circ \sin 15^\circ $.
- BITSAT - 2025
- Mathematics
- Trigonometric Identities
- The value of $ \sin^2 30^\circ + \cos^2 60^\circ $ is:
- BITSAT - 2025
- Mathematics
- Trigonometric Identities
View More Questions
Questions Asked in JEE Main exam
The motion of an airplane is represented by the velocity-time graph as shown below. The distance covered by the airplane in the first 30.5 seconds is km.
- JEE Main - 2025
- Kinematics
The least acidic compound, among the following is
- JEE Main - 2025
- Organic Chemistry
Choose the correct set of reagents for the following conversion:
- JEE Main - 2025
- Organic Chemistry
- JEE Main - 2025
- Organic Chemistry
- In a group of 3 girls and 4 boys, there are two boys \( B_1 \) and \( B_2 \). The number of ways in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but \( B_1 \) and \( B_2 \) are not adjacent to each other, is:
- JEE Main - 2025
- Permutations
View More Questions