If `(sin^4x)/2 + (cos^4x)/3=1/5`, then

If (sin^(4)x)/(2)+(cos^(4)x)/(3)=(1)/(5), then

If (sin^(4)x)/(2)+(cos^(4)x)/(3)=(1)/(5) then

If (sin^(4)x)/(2)+(cos^(4)x)/(3)=(1)/(5) then

If (sin^(4)x)/(2)+(cos^(4)x)/(3)=(1)/(5) then tan^(2)x=(2)/(3)(b)(sin^(8)x)/(8)+(cos^(8)x)/(27)=(1)/(125)tan^(2)x=(1)/(3)(d)(sin^(8)x)/(8)+(cos^(8)x)/(27)=(2)/(125)

If (cos ^ (4) x) / (cos ^ (2) y) + (sin ^ (4) x) / (sin ^ (2) y) = 1 then prove that (cos ^ (4) y) / (cos ^ (2) x) + (sin ^ (4) y) / (sin ^ (2) x) = 1

(i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx