Alerts Wishlist Cart

If sin C = 0.8, what is the value of cos C?

Practice Questions

Q1
If sin C = 0.8, what is the value of cos C?
  1. 0.6
  2. 0.8
  3. 0.4
  4. 0.2

Questions & Step-by-Step Solutions

If sin C = 0.8, what is the value of cos C?
  • Step 1: Start with the given value, sin C = 0.8.
  • Step 2: Use the Pythagorean identity, which states that sin²C + cos²C = 1.
  • Step 3: Substitute sin C into the identity: 0.8² + cos²C = 1.
  • Step 4: Calculate 0.8², which is 0.64.
  • Step 5: Now the equation looks like this: 0.64 + cos²C = 1.
  • Step 6: To find cos²C, subtract 0.64 from both sides: cos²C = 1 - 0.64.
  • Step 7: Calculate 1 - 0.64, which equals 0.36.
  • Step 8: Now we have cos²C = 0.36.
  • Step 9: To find cos C, take the square root of 0.36: cos C = √0.36.
  • Step 10: Calculate the square root of 0.36, which is 0.6.
  • Pythagorean Identity – The relationship between sine and cosine functions, specifically that sin²C + cos²C = 1.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely