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If sin A = 0.6, what is the value of cos A?
If sin A = 0.6, what is the value of cos A?
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Practice Questions
1 question
Q1
If sin A = 0.6, what is the value of cos A?
0.8
0.6
0.4
0.2
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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.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin A = 0.6, what is the value of cos A?
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.
Steps: 8
Show Steps
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.
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