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Answer: CSet 2: Trigonometry (Advanced)
Explanation
PROBLEM
Recent studies show that if sin(theta) = 6/10 and theta is in the first quadrant, find cos(theta).
If sin(theta) = 6/10 and theta is in the first quadrant, find cos(theta).
A.
6/10
B.
10/8
C.✓ Correct
8/10
D.
6/8
Detailed Explanation
[Variation 1] Choice C is the best answer. cos squared = 1 - sin squared = 1 - 36/100 = 64/100. cos = 8/10
Why others are wrong:
A: 6/10 is incorrect because it does not satisfy the equation.
B: 10/8 is incorrect because it does not satisfy the equation.
D: 6/8 is incorrect because it does not satisfy the equation.