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If sin A = 0.6, what is the value of cos A to two decimal places?
If sin A = 0.6, what is the value of cos A to two decimal places?
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Q1
If sin A = 0.6, what is the value of cos A to two decimal places?
0.8
0.6
0.4
0.2
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Using the Pythagorean identity, cos A = √(1 - sin²A) = √(1 - 0.36) = √(0.64) = 0.8.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin A = 0.6, what is the value of cos A to two decimal places?
Solution:
Using the Pythagorean identity, cos A = √(1 - sin²A) = √(1 - 0.36) = √(0.64) = 0.8.
Steps: 9
Show Steps
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.
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