Question

11. Verify each of the following:
(i) sin 60° cos 30° - cos 60° sin 30º = sin 30°
(ii) cos 60° cos 30° + sin 60° sin 30º = cos 30°
(iii) 2 sin 30° cos 30º = sin 60°
(iv) 2 sin 45° cos 45º = sin 90°





please solve these questions
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Answer 1

Step-by-step explanation:

(i) √3/2.√3/2-1/2.1/2=1/2

(√3/2)^2-(1/2)^2=1/2

3/4-1/4=1/2

1/2=1/2

(ii) 1/2.√3/2+√3/2.1/2=√3/2

√3/4+√3/4=√3/2

2(√3/4)=√3/2

√3/2=√3/2

(iii) 2(1/2)(√3/2)=√3/2

√3/2=√3/2

(iv) 2(1/√2)(1/√2)=1

2(1/√2)^2=1

2(1/2)=1

1=1

hence verified