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If sin A = 0.6, what is the value of tan A?
If sin A = 0.6, what is the value of tan A?
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Practice Questions
1 question
Q1
If sin A = 0.6, what is the value of tan A?
0.8
1.2
0.75
1.5
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Using the identity tan A = sin A / cos A, we find cos A = sqrt(1 - (0.6)^2) = 0.8, thus tan A = 0.6 / 0.8 = 0.75.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin A = 0.6, what is the value of tan A?
Solution:
Using the identity tan A = sin A / cos A, we find cos A = sqrt(1 - (0.6)^2) = 0.8, thus tan A = 0.6 / 0.8 = 0.75.
Steps: 12
Show Steps
Step 1: We know that sin A = 0.6.
Step 2: We use the identity tan A = sin A / cos A.
Step 3: To find cos A, we use the Pythagorean identity: cos^2 A + sin^2 A = 1.
Step 4: Substitute sin A into the identity: cos^2 A + (0.6)^2 = 1.
Step 5: Calculate (0.6)^2, which is 0.36.
Step 6: Now we have cos^2 A + 0.36 = 1.
Step 7: Subtract 0.36 from both sides: cos^2 A = 1 - 0.36.
Step 8: Calculate 1 - 0.36, which is 0.64.
Step 9: Now we have cos^2 A = 0.64.
Step 10: Take the square root of both sides to find cos A: cos A = sqrt(0.64) = 0.8.
Step 11: Now we can find tan A using the values we have: tan A = sin A / cos A = 0.6 / 0.8.
Step 12: Calculate 0.6 / 0.8, which equals 0.75.
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