[" If "sin x+sin^(2)x=1;" show that "cos^(4)x+cos^(2)x=1],[" If "cos x+sin x=sqrt(2)cos x;" show that "cos x-sin x=sqrt(2)sin x]

If cos x+sin x=sqrt(2)cos x, prove that that cos x-sin x=sqrt(2)sin x

If "sin" x + "sin"^(2) x = 1 show that: cos^(4)x + cos^(2)x = 1 (ii) If "sin" x + cos x =sqrt(2) cos x show that: sqrt2 sin x = cos x - sin x

If sin x + sin^(2) x =1 " then " cos^(8) x + 2 cos^(6) x + cos^(4) x =

If sin x+sin^(2)=1, then cos^(8)x+2cos^(6)x+cos^(4)x=

sin x + cos x = sqrt (2) cos A

If sin x + cos x =sqrt2 cos x , show that : sqrt2 sin x =cos x- sin x .

sin x+sin^(2)x=1, then value of cos^(6)x+cos^(2)x-sin x is

cos x-sin x = sqrt (2) cos (x + (pi) / (4))