Question

2 In A ABC below, angle C is a right angle. 5 Which statement must be true? 1 sin = cos B Sid = lan B 3) Sin B = tan 4 1410 Sin B - cos B

Answer 1

sin A = cos B (option 1)

Explanation:

angle C = 90°

Using sine ratio:

sin A = opposite/hypotenuse

opposite = side opposite angle A = 12

hypotenuse = 13

sin A = 12/13

Using cosine ratio:

cos B = adjacent/hypotenuse

opposite = side opposite angle = 5

adjacent = 12

hypotenuse = 13

cos B = 12/13

sin A = cos B = 12/13

The correct statement is sin A = cos B (option 1)