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If sin A = 0.6, what is the value of cos A to two decimal places?

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Question: If sin A = 0.6, what is the value of cos A to two decimal places?

Options:

  1. 0.8
  2. 0.6
  3. 0.4
  4. 0.2

Correct Answer: 0.8

Solution: 

Using the Pythagorean identity, cos A = √(1 - sin²A) = √(1 - 0.36) = √(0.64) = 0.8.

If sin A = 0.6, what is the value of cos A to two decimal places?

Practice Questions

Q1
If sin A = 0.6, what is the value of cos A to two decimal places?
  1. 0.8
  2. 0.6
  3. 0.4
  4. 0.2

Questions & Step-by-Step Solutions

If sin A = 0.6, what is the value of cos A to two decimal places?
  • Step 1: Start with the given value of sin A, which is 0.6.
  • Step 2: Calculate sin²A by squaring the value of sin A: 0.6 * 0.6 = 0.36.
  • Step 3: Use the Pythagorean identity, which states that sin²A + cos²A = 1.
  • Step 4: Rearrange the identity to find cos²A: cos²A = 1 - sin²A.
  • Step 5: Substitute the value of sin²A into the equation: cos²A = 1 - 0.36.
  • Step 6: Calculate 1 - 0.36, which equals 0.64.
  • Step 7: Now, find cos A by taking the square root of cos²A: cos A = √0.64.
  • Step 8: Calculate the square root of 0.64, which is 0.8.
  • Step 9: Round the answer to two decimal places, which is still 0.80.
  • Pythagorean Identity – The relationship between sine and cosine, specifically that sin²A + cos²A = 1.
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