What is the correct sequence of steps? Review the proof (not in order) of the identity
1-cos(x)
sin
=
2
O 1-2-3-4-5
O 1-2-4-3-5
Step
1
O 1-4-2-3-5
0 1-4-3-2-5
2
sin
(3)
sin
sin)
sin (0)
3
Statement
csc(x) - cot(x)
2 csc(x)
1 - cos(x)
sin(x)
sina
2
sin(x)
1 - cos(x)
2
1
cosa
sin(x) sin(x)
2
sin(x)
1 - cos(x)
=
2
4.
5

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

is this part of a question or something