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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1