Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.
Using the angle sum property of triangle, we get
Therefore, the value of <em>x</em> is 30 degrees.
What is over representing ???
Use cos2x =1-2sin^2x
1+sinx- (1-2sin^2x) = 1+ sinx -1+2sin^2x
=sinx+2sin^2x=sinx(1+2sinx)
Therefore
Either sinx=0 or 1+ sin2x =0
X=npi or sin2x=-1
Sin2x=sin 3pi/2
2x= npi +(-1)^n3pi/2
x=npi/2 + (-1)^n 3pi/4
I think this is the answer