Q. If cos B = 0.6, what is the value of sin B?
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A.
0.8
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B.
0.6
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C.
0.4
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D.
0.2
Solution
Using the Pythagorean identity, sin B = √(1 - cos²B) = √(1 - 0.6²) = √(1 - 0.36) = √(0.64) = 0.8.
Correct Answer: A — 0.8
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Q. If cot D = 3/4, what is the value of sin D?
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A.
3/5
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B.
4/5
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C.
5/3
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D.
5/4
Solution
cot D = 3/4 implies tan D = 4/3. Therefore, sin D = 4/5 (using the identity sin²D + cos²D = 1).
Correct Answer: A — 3/5
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Q. If sin A = 1/√2, what is the value of tan A?
Solution
tan A = sin A / cos A = (1/√2) / (1/√2) = 1.
Correct Answer: A — 1
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Q. If sin C = 0.8, what is the value of cos C?
-
A.
0.6
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B.
0.8
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C.
0.4
-
D.
0.2
Solution
Using the Pythagorean identity, cos C = √(1 - sin²C) = √(1 - 0.8²) = √(1 - 0.64) = √(0.36) = 0.6.
Correct Answer: A — 0.6
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