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

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

Options:

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

Correct Answer: 0.8

Solution: 

Using the identity sin^2 A + cos^2 A = 1, we have cos A = sqrt(1 - (0.6)^2) = sqrt(1 - 0.36) = sqrt(0.64) = 0.8.

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

Practice Questions

Q1
If sin A = 0.6, what is the value of cos A?
  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?
  • Step 1: Start with the given value, sin A = 0.6.
  • Step 2: Use the identity sin^2 A + cos^2 A = 1.
  • Step 3: Calculate sin^2 A by squaring 0.6: (0.6)^2 = 0.36.
  • Step 4: Substitute sin^2 A into the identity: 0.36 + cos^2 A = 1.
  • Step 5: Rearrange the equation to find cos^2 A: cos^2 A = 1 - 0.36.
  • Step 6: Calculate 1 - 0.36: 1 - 0.36 = 0.64.
  • Step 7: Now, take the square root of cos^2 A to find cos A: cos A = sqrt(0.64).
  • Step 8: Calculate the square root: sqrt(0.64) = 0.8.
  • Trigonometric Identities – Understanding and applying the Pythagorean identity sin^2 A + cos^2 A = 1 to find the cosine value from the sine value.
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