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: 50653
37³ = (40 - 3)³ = 40³ - 3.40².3 + 3.40.3² - 3³
= 64000 - 14400 + 1080 - 27
= 50653
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
9×10=90 That is how I got the answer.
Answer:
30,240 ways, if I am restricted to using A, B, and C for letters
Step-by-step explanation:
This uses Combinatorics from Discrete Math.
so.
3 letters and 4 digits.
26 letters from alphabet, but you want to choose first letters. no repeats...
Does this mean only letters A, B, and C ?
digits from 10 digits...
I imagine 7 empty slots , and the number of ways they occur together is by the product of the number of choices each box has.
3*2*1 * 10*9*8*7 = 6 * 5040 = 30,240 ways
Answer:
35
Step-by-step explanation:
brake it down
