All Categories
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(θ) = 1/√2, what is cos(θ)? (2022)
If sin(θ) = 1/√2, what is cos(θ)? (2022)
Expand All
Collapse All
Practice Questions
1 question
Q1
If sin(θ) = 1/√2, what is cos(θ)? (2022)
1/√2
0
√2/2
1
Show Solution
Copy
Using sin²(θ) + cos²(θ) = 1, cos(θ) = √(1 - (1/√2)²) = √(1/2) = √2/2
Questions & Step-by-step Solutions
1 item
Q
Q: If sin(θ) = 1/√2, what is cos(θ)? (2022)
Solution:
Using sin²(θ) + cos²(θ) = 1, cos(θ) = √(1 - (1/√2)²) = √(1/2) = √2/2
Steps: 10
Show Steps
Step 1: Start with the given information: sin(θ) = 1/√2.
Step 2: Recall the Pythagorean identity: sin²(θ) + cos²(θ) = 1.
Step 3: Substitute sin(θ) into the identity: (1/√2)² + cos²(θ) = 1.
Step 4: Calculate (1/√2)²: (1/√2)² = 1/2.
Step 5: Now the equation looks like this: 1/2 + cos²(θ) = 1.
Step 6: To find cos²(θ), subtract 1/2 from both sides: cos²(θ) = 1 - 1/2.
Step 7: Calculate 1 - 1/2: 1 - 1/2 = 1/2.
Step 8: Now we have cos²(θ) = 1/2.
Step 9: To find cos(θ), take the square root of both sides: cos(θ) = √(1/2).
Step 10: Simplify √(1/2): √(1/2) = √2/2.
Related Questions
F
Find the value of 5! (5 factorial). (2019)
Question: Find the value of 5! (5 factorial). (2019)Options: 12010015090Correct Answer: 120Solution:..
W
What is the value of (3 + 5) × (2 - 1)? (2020)
Question: What is the value of (3 + 5) × (2 - 1)? (2020)Options: 816106Correct Answer: 8Solution: (3..
C
Calculate the value of 12 × 8 - 24. (2021)
Question: Calculate the value of 12 × 8 - 24. (2021)Options: 72964860Correct Answer: 72Solution: 12 ..
W
What is the square root of 64? (2020)
Question: What is the square root of 64? (2020)Options: 6789Correct Answer: 8Solution: The square ro..
I
If cos(θ) = 0.5, what is the value of θ in degrees? (2017)
Question: If cos(θ) = 0.5, what is the value of θ in degrees? (2017)Options: 30°45°60°90°Correct Ans..
‹
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
✕
↑
