Answer:
Cos x = 1 - + - + ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) + + + + ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 - + - + ...
The integers are x, x + 2 and x + 4
x + x + 2 + x + 4 = 126
3x + 6 = 126
3x = 126 - 6 = 120
x = 120/3 = 40
The least consecutive integer is 40
The second consecutive integer is 42
The greatest consecutive integer is 44.
Therefore, the numbers are 40, 42 and 44
Answer:
.
Step-by-step explanation:
Note: The number is not in proper form. Consider the given number is .
If a number is added to another number and we get zero, then the added number is known as additive inverse.
Let a be a number, then
So, -a is the additive inverse of a. It means, additive inverse is the same number with opposite sign.
Consider the given number is .
Therefore, the additive inverse of is .
B. Obtuse because it is not smaller than 90 and it is bigger than 90