Question

$(2cos(2x) - 1)(sqrt{2}sin(2x) + 1)$
​

Answer 1

Step-by-step explanation:

(2cos2x-1) ( √( sin2x+1))

= [ 2(2cos²x-1) -1] [√( 2sinxcosx+ sin²x+cos²x)]

= ( 4 cos²x-3) [√ ( sinx+ cosx)²]

= (4cos²-3) (sinx+ cosx)

= ( 1-4sin²x) ( sinx+cosx)

Hope this helps you