Question:medium

The sum of all values of \(x\) in \([0, 2\pi]\), for which \(x + \sin(2x) + \sin(3x) + \sin(4x) = 0\) is equal to:

Show Hint

Check solutions by substituting back into the original equation to confirm their validity.

Updated On: Nov 26, 2025

\(8\pi\)
\(11\pi\)
\(12\pi\)
\(9\pi\)

Top Questions on Trigonometry

If \( \sin \theta + \cos \theta = 1 \), what is the value of \( \sin^2 \theta + \cos^2 \theta \)?
- BITSAT - 2025
- Mathematics
- Trigonometry
View Solution
What is the value of \( \sin 30^\circ \)?
- BITSAT - 2025
- Mathematics
- Trigonometry
View Solution
If \( \tan A + \tan B + \tan C = \tan A \tan B \tan C \), where \( A + B + C = \pi \), then what is the value of \( \tan A \tan B + \tan B \tan C + \tan C \tan A \)?
- BITSAT - 2025
- Mathematics
- Trigonometry
View Solution
Given that \( f(x) = \sin x + \cos x \) and \( g(x) = x^2 - 1 \), find the conditions under which \( g(f(x)) \) is invertible.
- BITSAT - 2024
- Mathematics
- Trigonometry
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

A sequence is defined as follows: \( a_1 = 1, a_2 = 2 \), and \( a_n = a_{n-1} + a_{n-2} \) for \( n \geq 3 \). What is the 6th term of the sequence?

BITSAT - 2025
Sequence and Series

View Solution

Choose the word closest in meaning to 'Candid'.

BITSAT - 2025
Vocabulary

View Solution

What is the sum of the first 10 terms of the arithmetic progression with first term 3 and common difference 2?

BITSAT - 2025
Arithmetic Progression

View Solution

In the reaction \( 2\text{SO}_2 + \text{O}_2 \rightarrow 2\text{SO}_3 \), if 64 g of \(\text{SO}_2\) reacts completely, how many grams of \(\text{SO}_3\) are produced? (Molar mass of \(\text{SO}_2 = 64 \, \text{g/mol}, \text{SO}_3 = 80 \, \text{g/mol}\))

BITSAT - 2025
Stoichiometry and Stoichiometric Calculations

View Solution