Prove that: sin 70° - sin 50° = sin 10°

Step-by-step explanation:

sin α - sin β = 2 cos (α + β)/2 sin (α - β)/2

sin 70° - sin 50° = sin 10°

2 cos (70° + 50°)/2 sin (70° - 50°)/2 = sin 10°

2 cos 120°/2 sin 20°/2 = sin 10°

2 cos 60° sin 10° = sin 10°

2 (½) sin 10° = sin 10°

sin 10° = sin 10° → Proved

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.