Answer: Cos A = 0.96, Tan A = 0.29 and Sin A = 0.28
Step-by-step explanation: The right angled triangle can be solved by applying the trigonometric ratios given a follows;
Sin A = opposite/hypotenuse
Cos A = adjacent/hypotenuse
Tan A = opposite/adjacent
In the triangle ABC, the side AB (25) is the hypotenuse [facing the right angle], the side CB (7) is the opposite [facing the reference angle A°] while the side AC (24) is the adjacent [line between the reference angle and the right angle].
Therefore, using angle A as the reference angle;
(a) Cos A = adjacent/hypotenuse
Cos A = AC/AB
Cos A = 24/25
Cos A = 0.96
(b) Tan A = opposite/adjacent
Tan A= CB/AC
Tan A = 7/24
Tan A = 0.29
(c) Sin A = opposite/hypotenuse
Sin A = CB/AB
Sin A = 7/25
Sin A = 0.28
