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
›
If tan(x) = 3/4, what is sin(x)?
If tan(x) = 3/4, what is sin(x)?
Expand All
Collapse All
Practice Questions
1 question
Q1
If tan(x) = 3/4, what is sin(x)?
3/5
4/5
5/3
5/4
Show Solution
Copy
Using the identity tan(x) = sin(x)/cos(x), we can find sin(x) = 3/5 after applying the Pythagorean theorem.
Questions & Step-by-step Solutions
1 item
Q
Q: If tan(x) = 3/4, what is sin(x)?
Solution:
Using the identity tan(x) = sin(x)/cos(x), we can find sin(x) = 3/5 after applying the Pythagorean theorem.
Steps: 7
Show Steps
Step 1: Understand that tan(x) = sin(x) / cos(x). We know tan(x) = 3/4.
Step 2: Let sin(x) = 3k and cos(x) = 4k for some value k. This is because the ratio of sin to cos is 3 to 4.
Step 3: Use the Pythagorean theorem: sin^2(x) + cos^2(x) = 1.
Step 4: Substitute sin(x) and cos(x) into the equation: (3k)^2 + (4k)^2 = 1.
Step 5: Simplify the equation: 9k^2 + 16k^2 = 1, which gives 25k^2 = 1.
Step 6: Solve for k: k^2 = 1/25, so k = 1/5.
Step 7: Now find sin(x): sin(x) = 3k = 3 * (1/5) = 3/5.
Related Questions
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)!)..
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..
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 -..
I
If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is
Question: If the coordinates of points A and B are (1, 2) and (3, 4) respectively, what is the dista..
‹
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
✕
↑
