If `sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2` for `0<|x|

If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-.....)=pi/2 for 0 lt |x| lt sqrt2 then x=

The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^(-1)(x^4-(x^8)/3+(x^(12))/9ddot)=pi/2, where 0<|x|

The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos^(-1)(x^4-(x^8)/3+(x^(12))/9ddot)=pi/2, where 0lt=|x|

Solve 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(1-x^2))=pi/3

Find number of solutions of the equation sin^(-1)(|log_(6)^(2)(cos x)-1|)+cos^(-1)(|3log_(6)^(2)(cos x)-7|)=(pi)/(2) , if x in [0, 4pi] .

Find number of solutions of the equation sin^(-1)(|log_(6)^(2)(cos x)-1|)+cos^(-1)(|3log_(6)^(2)(cos x)-7|)=(pi)/(2) , if x in [0, 4pi] .

The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 (A) {-2-pi/4} (B) {-oo,-2-pi/4} (C) {-oo,-2-pi/4} (D) none of these

The exhaustive set of values of a such that, x^2+a x+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0 (A) {-2-pi/4} (B) {-oo,-2-pi/4} (C) {-oo,-2-pi/4} (D) none of these

The domain of the function f(x) = sin^(-1) ((2-|x|)/(4)) + cos^(-1) ((2-|x|)/(4)) + tan^(-1) ((2-|x|)/(4)) is

If y=(sin^(4)x-cos^(4)x+sin^(2) x cos^(2)x)/(sin^(4) x+ cos^(4)x + sin^(2) x cos^(2)x), x in (0, pi/2) , then