Answer:
The new cost of tickets after decrease of price at 23 % rate is $ 4.62
Step-by-step explanation:
Given as :
The initial cost of the selling tickets = $ 6
Let The final cost of selling tickets = $ x
The rate of decrease of ticket price = 23 %
Now,
The final cost of tickets = initial cost of tickets × ( 1 - )
or, $ x = $ 6 × ( 1 - )
or, x = $ 6 ×
∴ x = $ 4.62
So decrease price = x = $ 4.62
Hence The new cost of tickets after decrease of price at 23 % rate is $ 4.62 Answer
This is not an identity but an equation. You're supposed to find the values of for which this is true. It is *not* true for all values of
.
To see why:
has period
, which means
.
The angle sum identity for says that
So
By definition of ,
and so
which is only 0 if either (which only happens for certain values of
) or
(which also only happens for certain values of
). It's these values of
you want to find.
whenever
is a multiple of
, i.e.
for any integer
.
If , then
is true for
and
. Then to account for all other possible values, we add a multiple of
, so that
or
for integers
.