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If sin x = 0.6, what is the value of cos x?

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Question: If sin x = 0.6, what is the value of cos x?

Options:

  1. 0.8
  2. 0.6
  3. 0.4
  4. 0.5

Correct Answer: 0.8

Solution: 

Using the Pythagorean identity, cos x = √(1 - sin²x) = √(1 - 0.6²) = √(1 - 0.36) = √(0.64) = 0.8.

If sin x = 0.6, what is the value of cos x?

Practice Questions

Q1
If sin x = 0.6, what is the value of cos x?
  1. 0.8
  2. 0.6
  3. 0.4
  4. 0.5

Questions & Step-by-Step Solutions

If sin x = 0.6, what is the value of cos x?
  • Step 1: Start with the given value, sin x = 0.6.
  • Step 2: Use the Pythagorean identity, which states that sin²x + cos²x = 1.
  • Step 3: Rearrange the identity to find cos²x: cos²x = 1 - sin²x.
  • Step 4: Calculate sin²x: sin²x = (0.6)² = 0.36.
  • Step 5: Substitute sin²x into the equation: cos²x = 1 - 0.36.
  • Step 6: Calculate 1 - 0.36: cos²x = 0.64.
  • Step 7: Take the square root of both sides to find cos x: cos x = √(0.64).
  • Step 8: Calculate the square root: cos x = 0.8.
  • Pythagorean Identity – The relationship between sine and cosine functions, specifically that sin²x + cos²x = 1.
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