9514 1404 393
Answer:
>180° (more than 180°)
Step-by-step explanation:
Angles are classified as ...
- acute: < 90°
- right: = 90°
- obtuse: > 90°
- straight/linear: = 180°
- reflex: > 180°
It seems that we're looking at definitions:
obtuse : >90° :: reflex : >180°
Your sequence appears to be geometric with a common ratio of 2. It can be described by
a(n) = (-2 2/3)·2^(n-1)
_____
This can be written in a number of other forms, including
a(n) = (-8/3)·2^(n-1)
a(n) = (-1/3)·2^(n+2)
a(n) = (-4/3)·2^n
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)

In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:

Now we can simplify that:

And we know that:
cos^2(x) + sin^2(x) = 1
then:
