If `sinx+sin^2x=1`then show that `cos^2 x +cos^4 x=1`

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

Show that cos^2(pi/4-x)+cos^2(pi/4+x)=1

Select and write the correct answer from the given alternatives in each of the following:If sinx+sin^2x=1 ,then cos^8x+2cos^6x+cos^4x =….

If (frac(cos^4 B)(cos^2 A))+(frac(sin^4 B)(sin^2 A))=1 then show that, (frac(cos^4 A)(cos^2 B))+(frac(sin^4 B)(sin^2 A))=1

If sinx+sin^2x=1 , then find the value of cos^(12)x +3cos^(10)x + 3 cos^8x + cos^6x-1

If sin x + sin^(2) x + sin^(3) x = 1 , then prove that cos^(6)x - 4 cos^(4) x + 8 cos^(2) x - 4 = 0 .

If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+3 cos ^(8) x + cos ^(6) x-2 is equal to ............. A) 0 B) 1 C) -1 D) 2

If sin^-1 x + sin^-1 y = (2pi)/3, then cos^-1 x + cos^-1 y =

If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y) ............. A) (-8)/(3) B) 8/3 C) 4/3 D) -3/4