Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
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 sin A = 5/13, what is the value of cos A?
If sin A = 5/13, what is the value of cos A?
Expand All
Collapse All
Practice Questions
1 question
Q1
If sin A = 5/13, what is the value of cos A?
12/13
5/12
13/5
1/5
Show Solution
Copy
Using the Pythagorean identity, cos A = √(1 - sin²A) = √(1 - (5/13)²) = √(1 - 25/169) = √(144/169) = 12/13.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin A = 5/13, what is the value of cos A?
Solution:
Using the Pythagorean identity, cos A = √(1 - sin²A) = √(1 - (5/13)²) = √(1 - 25/169) = √(144/169) = 12/13.
Steps: 11
Show Steps
Step 1: Start with the given value of sin A, which is 5/13.
Step 2: Use the Pythagorean identity, which states that sin²A + cos²A = 1.
Step 3: Substitute sin A into the identity: (5/13)² + cos²A = 1.
Step 4: Calculate (5/13)², which is 25/169.
Step 5: Now the equation looks like this: 25/169 + cos²A = 1.
Step 6: To isolate cos²A, subtract 25/169 from both sides: cos²A = 1 - 25/169.
Step 7: Convert 1 into a fraction with a denominator of 169: 1 = 169/169.
Step 8: Now the equation is: cos²A = 169/169 - 25/169.
Step 9: Subtract the fractions: cos²A = (169 - 25)/169 = 144/169.
Step 10: To find cos A, take the square root of both sides: cos A = √(144/169).
Step 11: Calculate the square root: cos A = 12/13.
Related Questions
I
If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the wi
Question: If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020..
S
Solve for x: 3x - 7 = 2x + 5. (2021)
Question: Solve for x: 3x - 7 = 2x + 5. (2021)Options: 1211109Correct Answer: 12Exam Year: 2021Solut..
I
If the ratio of the sides of a triangle is 3:4:5, what type of triangle is it? (
Question: If the ratio of the sides of a triangle is 3:4:5, what type of triangle is it? (2019)Optio..
I
If the sum of two numbers is 20 and their product is 96, what are the numbers? (
Question: If the sum of two numbers is 20 and their product is 96, what are the numbers? (2021)Optio..
W
What is the value of x in the equation 4x - 7 = 9? (2022)
Question: What is the value of x in the equation 4x - 7 = 9? (2022)Options: 4563Correct Answer: 4Exa..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
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
✕
↑
