All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
Solve the equation 2sin(x) + √3 = 0 for x in the interval [0, 2π].
Solve the equation 2sin(x) + √3 = 0 for x in the interval [0, 2π].
Expand All
Collapse All
Practice Questions
1 question
Q1
Solve the equation 2sin(x) + √3 = 0 for x in the interval [0, 2π].
5π/3
π/3
2π/3
4π/3
Show Solution
Copy
Rearranging gives sin(x) = -√3/2, so x = 4π/3 and x = 5π/3.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the equation 2sin(x) + √3 = 0 for x in the interval [0, 2π].
Solution:
Rearranging gives sin(x) = -√3/2, so x = 4π/3 and x = 5π/3.
Steps: 6
Show Steps
Step 1: Start with the equation 2sin(x) + √3 = 0.
Step 2: Subtract √3 from both sides to isolate the term with sin(x): 2sin(x) = -√3.
Step 3: Divide both sides by 2 to solve for sin(x): sin(x) = -√3/2.
Step 4: Identify the angles where sin(x) equals -√3/2. These angles are in the third and fourth quadrants.
Step 5: The angles that satisfy sin(x) = -√3/2 are x = 4π/3 and x = 5π/3.
Step 6: Write the final solutions: x = 4π/3 and x = 5π/3.
Related Questions
W
What is the value of sec(θ) if cos(θ) = 3/5?
Question: What is the value of sec(θ) if cos(θ) = 3/5?Options: 5/33/54/51/3Correct Answer: 5/3Soluti..
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
F
Find the value of tan(45°) + cot(45°).
Question: Find the value of tan(45°) + cot(45°).Options: 120undefinedCorrect Answer: 2Solution: tan(..
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
