From trigonometry we know that:
if 
then, 
(where 
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, 
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of 
that match.
For n=2, (Equation 2) gives us: 
.
Thus, 
Now, we know that: 
Let n=-1, then:
Thus, 
Likewise, 
Only the last option 
will never match 
because no integral value of will ever give 
Thus the last option is the correct option.
Answer:
2 is the required answer.
Step-by-step explanation:
<u>Solution:</u>
<u>Given</u><u>:</u>
-5x+3y=2..............(i)
Putting the value of y=2x in the equation (i); we get:
i.e -5x+3×2x=2
or, -5x+6x=2
or, x=2
i.e. x=2
y=2x=2×2=4
Answer:
X=24
Step-by-step explanation:
1. (4x + 11) + (3x + 1) = 180 (Combine like terms)
2. 7x + 12 = 180 (Subtract 12 from both sides)
3. 7x = 168 (Divide both sides by 7)
4. x = 24
Answer:
x = 0.5
Step-by-step explanation:
2(2x-1)=3
2(2x)+1=3
-1 -1
2(2x)=2 2x2=4
4x=2
4÷4 Cancels out the 4 in X
2÷4=0.5
Therefore
x = 0.5
Answer:
"10"
Step-by-step explanation:
This is rather thinking "pictorially". Picture it.
You can match it with a round clock that has numbers 1 - 12 written on it.
So,
32 and 16 would be opposite of each other [top and bottom]. And, 1 - 15 would be on right side and 17 - 31 would be on left side.
Now,
Going counter-clockwise from 32, 26 would be the 6th number. Going counter-clockwise from 16, 10 would be the 6th number.
Hence, they would be opposite of each other.
10 would be opposite of 26
