In triangle ABC, the angle is C-line, sinA = 5 / √41. Find ctgB.
August 15, 2021 | education
| Let the length of the leg BC = 5 * X cm, then the length of the hypotenuse AB = √41 * X cm.
Then, by the Pythagorean theorem, AC ^ 2 = AB ^ 2 – BC ^ 2 = 41 * X ^ 2 – 25 * X ^ 2 = 16 * X ^ 2.
AC = 4 * X cm.
Then CtgABC = BC / AC = 5 * X / 4 * X = 5/4.
Answer: The cotangent of the angle ABC is 5/4.
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