Final answer:
Option b) cosA = 29/20 is incorrect because the cosine of an angle cannot be greater than 1, and here it is represented as greater than 1, which is not possible in a right-angled triangle.
Step-by-step explanation:
To determine which, if any, of the statements regarding the trigonometric functions of angle A are incorrect, we must examine the relationships between the sine, cosine, and tangent of an angle. In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the hypotenuse, the cosine is the ratio of the length of the adjacent side to the hypotenuse, and the tangent is the ratio of the length of the opposite side to the length of the adjacent side. From the provided options:
- a) sinA = 21/29
- b) cosA = 29/20
- c) tanA = 20/21
One can immediately spot an inconsistency since the hypotenuse should be the longest side of a right triangle, yet in b) it is given as the adjacent side, which is impossible. Therefore, the correct statement is that statement b) is incorrect since the cosine of an angle cannot be greater than 1, and 29/20 is greater than 1.