Question

Verify the following equalites: 

(i) sin² 60° + cos² 60° = 1 

(ii) 1 + tan² 30° = sec² 30° 

(iii) cos 90° = 1 – 2 sin² 45° = 2 cos² 45° – 1

(iv) sin 30° cos 60° + cos 30° sin 60° = sin 90°

Answer 1

(i) sin² 60° + cos² 60° 

(ii) 1 + tan² 30° = sec² 30°

(iii) cos 90° = 1 – 2 sin² 45° = 2 cos² 45° – 1

(iv) sin 30° cos 60° + cos 30° sin 60° = sin 90°

Hence it is verified.