Answer:
The general solution of
is
x = 2nπ±
The general solution values

Step-by-step explanation:
Explanation:-
Given equation is


Dividing '2' on both sides, we get


<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>
<em>Now The general solution of </em>
<em> is </em>
<em> x = 2nπ±</em>
<em></em>
put n=0

Put n=1


put n=2


And so on
But given 0 < x< 2π
The general solution values

Answer:
1
Step-by-step explanation:
can be expressed as
=
Similarly
can be expressed as
=
Numerator becomes:
·
= 
Denominator becomes:
·
= 
Since numerator = Denominator,
Answer = 1
Edit reason: typo
Yes it is a square number
Step-by-step explanation:

We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)

Also we use identity
sin(2x) = 2 sin(x) cos(x)

4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer



We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified