Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
Answer:
-96.875
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Because 6/3 equals 2
3 and 11 are the only two because 33 only has four factors: 1,3,11,33.
1 - in some cases people say this is prime, but it is now widely considered to not be a prime number
3 - prime
11- prime
33 - not prime, divisible by 3 and 11
Answer:
45.3 miles per hour
Step-by-step explanation:
1 hour=60 minutes
60/3=20
20*2=40
----------------------------
30 1/5=151/5
(151/5)/40=x/60
cross product
40*x=(151/5)*60
40x=9060/5
40x=1812
x=1812/40
x=45.3