Question

2. sin 60° cos 45º - cos 60° sin 45º.​

Answer 1

Answer: sin 15°

Step-by-step explanation:

sin(A-B) = sinAcosB - cosAsinB

Since, it is of this form, answer is sin(60°-45°) = sin 15°

Answer 2

Answer: √3-1/2√2

Step-by-step explanation:

sin 60° = √3/2

cos 60° = 1/2

sin 45° = 1/√2

cos 45° = 1/√2

sin60° cos45° = √3/2 × 1/√2

= √3/2√2

cos 60° × sin 45° = 1/2 × 1/√2

= 1/2√2

sin60 cos45 - cos60 sin45=

√3-1/2√2