Simplify each of the following: `sin^(-1)((sinx+cosx)/(sqrt(2))),\ pi/4

y=sin^(-1)((sinx+cosx)/sqrt2)=?

cos^(-1)((sinx+cosx)/(sqrt(2))),-(pi)/(4) ltx lt(pi)/(4)

Simplify: cos^(-1)((sinx+cosx)/(sqrt(2))), pi/4

Find the principal value of each of the following: sin^(-1)((sqrt(3)+1)/(2sqrt(2)))( (ii) sin^(-1)((cos(3 pi))/(4))( iii) sin^(-1)((tan(5 pi))/(4))

Find the principal solutions of each of the following equations : (i) sinx=(1)/(2) (ii) cosx=(1)/(sqrt(2))

(cosx-sinx)/(sqrt(8-sin2x))

int(sinx+cosx)/(sqrt(1+sin2x))dx

Simplify: ^(*)sin^(^^)(-1)((sin x+cos x)/(sqrt(2))),backslash-pi/4

int(sinx-cosx)/(sqrt(sin2x-(1)/(2)))dx=

Evaluate: int(sinx+cosx)/(sqrt(1+sin2x))\ dx