Question

plz explain this question​

Answer 1

Answer:

2 cos( theta)

Step-by-step explanation:

sqrt(2 +sqrt( 2* (1+ cos 2(2 theta)) )) ;

cos ( 2x) = 2 cos^2 (x) -1

1+ cos(2x) = 2 cos^2(x)

= sqrt(2 +sqrt( 2 * 2 cos^2 (2 theta))

= sqrt( 2 +sqrt( 4 cos^2 ( 2 theta)))

= sqrt( 2 + 2 cos( 2 theta))

=sqrt( 2( 1+ cos( 2 theta) ) )

= sqrt( 2 * 2 cos^2 ( theta) )

= sqrt( 4 cos^2 ( theta) )

= 2 cos ( theta)