(-)/(2^(2))quad " 8."cos(sqrt(x))

solve :sin((sqrt(x))/(2))+cos((sqrt(x))/(2))=sqrt(2)sin sqrt(x)

cos^(-1)x= 2 sin ^(-1) sqrt((1-x)/(2))=2 cos ^(-1)""sqrt((1+x)/(2))=2tan^(-1)""(sqrt(1-x^(2)))/(1+x)

Solve cos((sqrt(2)+1)/(2))x*cos((sqrt(2)-1)/(2))x=1

Solve cos((sqrt(2)+1)/(2))x*cos((sqrt(2)-1)/(2))x=1

Solve the equation: (4sqrt((cos x)/(2))-5-(sqrt(2))/(2))^(2)+sqrt(2)(4sqrt((cos x)/(2))-5-(sqrt(2))/(2))-(cos x)/(2)=0

"cos" 2x =(sqrt(2) + 1) ("cos"x- (1)/(sqrt(2))),"cos" x ne (1)/(2) rArr x in

"cos" 2x =(sqrt(2) + 1) ("cos"x- (1)/(sqrt(2))),"cos" x ne (1)/(2) rArr x in

lim _(x to ((1)/(sqrt2))^(+))(cos ^(-1) (2x sqrt(1- x ^(2))))/((x-(1)/(sqrt2)))- lim _(x to ((1)/(sqrt2))^(-))(cos ^(-1) (2x sqrt(1-x ^(2))))/((x- (1)/(sqrt2)))=

The value of (lim)_(x->0)(sqrt(2)-sqrt(1+cos x))/(sin^2x) is 1/(2sqrt(2)) b. 1/(8sqrt(2)) c. 1/(4sqrt(2))\ d. -1/(4sqrt(2))