" 22.Show that "2^(sin x)+2^(cos x)>=2^(1+(1)/(sqrt(2)))

show that 2^(sin x)+2^(cos x)ge2^(1-(1)/sqrt(2))

show that 2^(sin x)+2^(cos x)ge2^(1-(1)/sqrt(2))

show that 2^(sin x)+2^(cos x)ge2^(1-(1)/sqrt(2))

Show that : sin[cos^-1{tan(sec^-1 x)}]=sqrt(2-x^2)

Show that : int sqrt (1+ cos x ) dx = 2 sqrt(2) sin. x/2 + c

Prove that sin^(-1)(2x.sqrt(1-x^(2)))=2cos^(-1)x,(1)/(sqrt(2))lexlt1

Show that : {cos(sin^-1 x)}^2={sin(cos^-1 x)}^2

Show that(i) sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x ,-1/(sqrt(2))lt=xlt=1/(sqrt(2)) (ii) sin^(-1)(2xsqrt(1-x^2))=2cos^(-1)x ,1/(sqrt(2))lt=xlt=1

Show that (i) sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x ,-1/(sqrt(2))lt=xlt=1/(sqrt(2)) (ii) sin^(-1)(2xsqrt(1-x^2))=2cos^(-1)x ,1/(sqrt(2))lt=xlt=1