<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).
</span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).
</span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.
</span>
<span>I hope this helps! </span>
Step-by-step explanation:
240.70×4=962.8 (for return)
569×4=2240 (hotel cost)
28×4=112 (return airport)
962.8+2240+112=3,314.8
it will cost $3,314.8 for a family of 4.
Answer:
m
=
4
Step-by-step explanation:
Given -
8
x
−
2
y
=
14
It is in the form
a
x
+
b
y
=
c
If a linear equation is in this form, then -
It slope is
−
a
b
In our case, we shall use this formula
m
=
−
8
−
2
=
4
To find the y-intercept put
x
=
0
8
(
0
)
−
2
y
=
14
−
2
y
=
14
y
=
14
−
2
=
−
7
To find the x-intercept put
y
=
0
8
x
−
2
(
0
)
=
14
8
x
=
14
x
=
14
8
=
7
4
Answer:
Step-by-step explanation:
One number would be
9.31
The 3 in this number is 3/10
The 3 in the given number is 3/100
3/10 is 10 times bigger than 3/100
3/10 = 0.3
3/100 = 0.03
0.03 * x = 0.3 Divide both sides by 0.03
0.03/0.03 x = 0.3/0.03
x = 10
Answer:
Thanks for asking!
Step-by-step explanation:
The answer is -x²+9+12
