Question

5: In A ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:(i) sin
A, cos A (ii) sin 0, cos *​

Answer 1

Answer:

(i)7/25,24/25 (ii)24/25,7/25

Step-by-step explanation:

In triangle ABC,

angle B = 90°

=>AB²+BC²=AC²(Pythagoras Theorem)

=>(24 cm)²+(7 cm)²=AC²

=>576 cm²+49 cm²=AC²

=>AC²=625 cm²

=>AC=√625 cm²

=>AC=25 cm

(i) sin A = perpendicular/hypotenuse

            = BC/AC

            = 7 cm/25 cm

            = 7/25

cos A = base/hypotenuse

           = 24 cm/25 cm

           = 24/25

(ii) sin C = AB/BC

             = 24 cm/25 cm

             = 24/25

   cos C = BC/AC

              = 7 cm/25 cm

              = 7/25