[" 86"2" ) "x=3+2sqrt(2)" ,it "sin alpha" the "],[" velue "yx+(1)/(x)" ,"]

If sin x+cos x=sqrt(2)cos alpha rArr x=

(1)/(sqrt(sin^(3)x sin(x+alpha)))

(1)/(sqrt(sin^(3)x.sin(x+alpha)))

If alpha_(1),alpha_(2),alpha_(3),alpha_(4) are the roots of the equation x^(4)+(2-sqrt(3))x^(2)+2+sqrt(3)=0 then find the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))(1-alpha_(4))

If the range of function f(x)=((pi)/(sqrt(2))+sin^(-1)alpha)x^(2)+2(sin^(-1)beta)x+(pi)/(sqrt(2))-sin^(-1)alpha is [0,oo) ,then the maximum value of (a^(2)+beta^(2)+a^(2)beta^(2)) is equal to

If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha , then x^2= sin2\ alpha (b) sin\ alpha (c) cos2\ alpha (d) cos\ alpha

If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha , then x^2= sin2\ alpha (b) sin\ alpha (c) cos2\ alpha (d) cos\ alpha

If int((sin^((3)/(2))x+cos^((3)/(2))x)dx)/(sqrt(sin^(3)x cos^(3)x sin(x-alpha)))=a sqrt(cos alpha tan x-sin alpha)+b sqrt(cos alpha-sin alpha cot x)+c then

If the equation 3x + 3y + 5=0 is written in the form x cos alpha + y sin alpha = p , then the value of sin alpha + cos alpha is a) sqrt2 b) (1)/( sqrt2) c) - sqrt2 d) - (1)/( sqrt2)

If inte^(x)sin x dx=(sqrt2)/(2)e^(x)sin(x+alpha)+c, then alpha=