Question 1 of 18beginner🔧 ApplyNumerical2 marks

In ΔABC\Delta ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine: (i) sin A, cos A (ii) sin C, cos C

(i)
Answer

sin A = 7/25, cos A = 24/25

(ii)
Answer

sin C = 24/25, cos C = 7/25

Explanation

This question tests the basic trigonometric ratios in a right-angled triangle. Students must first find the hypotenuse using Pythagoras theorem, then apply the definitions of sine and cosine. For angle A, BC is opposite and AB is adjacent. For angle C, the roles reverse - AB becomes opposite and BC becomes adjacent.