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Given that cos(theta) = 4/5 with theta in the first quadrant, find the values of sin(theta) and cot(theta).

1. sin = 3/5, cot = 4/3
2. sin = 4/5, cot = 3/4
3. sin = 3/5, cot = 3/4
4. sin = 4/3, cot = 4/5

Correct answer: sin = 3/5, cot = 4/3

Solution

With cos = 4/5, sin = sqrt(1 - 16/25) = 3/5 and cot = (4/5)/(3/5) = 4/3.

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