In a right triangle ABC with right angle at C, if sin(A) = 5/13, what is the value of cot(A)?
Answer and explanation
Correct answer: D. 12/5
- Step 1: sin(A) = opposite / hypotenuse = 5 / 13.
- Step 2: Find the adjacent side using the Pythagorean theorem: adjacent = sqrt(13^2 - 5^2) = sqrt(169 - 25) = sqrt(144) = 12.
- Step 3: cot(A) = adjacent / opposite = 12 / 5.
Answer
12/5.
Why not the others: '5/12' is tan(A); '13/12' is csc(A); '12/13' is cos(A).
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