In triangle ABC: angle C = 90 degrees, AB = 15, cosB = 3/5, find tgA
| February 11, 2021 | education
Given: triangle ABC, angle C = 90 degrees, AB = 15, cosB = 3/5.
Find: tgA.
Decision:
cosB = 3/5,
CB / AB = 3/5,
15 * 3 = CB * 5,
CB = 15 * 3/5,
CB = 9,
AC = root of 15 ^ 2 – 9 ^ 2 = 12,
tgA = CB / AC = 9/12 = 3/4.
Answer: tgA = 3/4.
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