follows from the fact that the cosine function is
-periodic, which means
. Roughly speaking, this is the same as saying that a point on a circle is the same as the point you get by completing a full revolution around the circle (i.e. add
to the original point's angle with respect to the horizontal axis).
If you make another complete revolution (so we're effectively adding
) we get the same result:
. This is true for any number of complete revolutions, so that this pattern holds for any even multiple of
added to the argument. Therefore
for any integer
.
Next, because
, it follows that
is also true for any integer
. So we have
The rest follows from considering either case and solving for
.
The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
Step-by-step explanation:
Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.
To Find : Their present age ?
Solution :
Let the Ahmed's age be 'x'.
Ahmed's father is thrice as old as Ahmed.
i.e. Ahmed's father age is '3x'
After 12 years, his age will be twice that of his son.
i.e. 3x+12 = 2(x+12)3x+12=2(x+12)
Solving the equation,
3x+12 = 2x+243x+12=2x+24
x=12x=12
So, Ahmed's age is 12.
Ahmed's father age is 3\times 12=363×12=36
Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
<h2>There
is 3 times in space of 4 times please mark as brainlist</h2>
Answer:
x = 6
Step-by-step explanation:
Let x = first number
x+4x = 30
5x = 30
Divide by 5
5x/5 =30/5
x = 6
Answer:
x=3
Step-by-step explanation:
1. cross multiply to get
5(4x+2)= 35(x-1)
2. distribute
20x+10=35x-35
3. combine like terms
45=15x
4. divide :)
3=x
Answer:
8
Step-by-step explanation:
if we take the 2 that is in the R.H.S and put it in L.H.S
it becomes 16÷2=8
