Question

solve: sqrt2cos(x+pi/4)-1=0 for 0 12 years ago

Answer 1

Still working on this?

Answer 2

are ya?

Answer 3

cos (x+pi/4) = cos (x+45 deg) = cos x cos 45 + sin x sin 45 = 1/(sqrt2) * ( cos x + sin x)
So.... ur given eq---- in LHS the sqrt 2 cancels out and u get
cos x + sin x - 1 = 0
cos x + sin x = 1

got u this far......

Answer 4

rest will be....square the whole thing....
u will get cos2 x + sin2 x + 2 sin x cos x = 1
.....
rest 2 sin x cos x = 0
gives either sin x = 0 or cos x = 0
both gives the solutions for x