In triangle ABC, angle C is 90 degrees .tg A = √19 / 9. Find cos A.
| September 8, 2021 | education
Since the angle C is 90 °, triangle ABC is right-angled, with legs √19 and 9. Find the hypotenuse AB using the Pythagorean theorem:
AB = √ ((√19) ^ 2 + 9 ^ 2) = √100 = 10.
Then, by the definition of the cosine of the angle, we get:
cos (A) = 9/10 = 0.9.
Answer: the required cosine is 0.9.
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