Evaluate

Verify the following equalities.

(i) sin²30° + cos²30° = 1

(ii) 1 + tan²45° = sec²45°

(iii) cos 60° = 1 – 2sin² 30° = 2cos² 30° – 1

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

(v)

(vi)

(vii)

(viii) tan²60° – 2tan²45° – cot²30° + 2sin²

(ix) 4cot²45° – sec²60° + sin² 60° = 1

(x) sin30° cos60° + cos30° sin60° = sin 90°

Evaluate

Evaluate

Evaluate