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Which of the following functions have th...

Which of the following functions have the maximum value unity? a) `sin^2 x-cos^2 x` `b)(sin2x-cos2x)/sqrt2` c)`-((sin2x-cos2x)/sqrt2)` d)`sqrt(6/5)(1/sqrt2 sinx+1/sqrt3cosx)`

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Which of the following has the maximum value unity: (a) sin^2x-cos^2x (b) (sin2x-cos2x)/sqrt2 (c) -(sin2x-cos2x)/sqrt2 (d) (sqrt(6/5))(1/sqrt(2)sinx+sqrt(3)cosx)

Which of the following has the maximum value unity: (a)sin ^(2)x-cos^(2)x(b)(sin2x-cos2x)/(sqrt(2))(c)-(sin2x-cos2x)/(sqrt(2)) (d) (sqrt((6)/(5)))((1)/(sqrt(2))sin x+sqrt(3)cos x)

If int (sin2x-cos2x)dx=1/sqrt2sin(2x-a)+b then

int_( then )^( If )(sin2x-cos2x)dx=(1)/(sqrt(2))sin(2x-a)+b

Show that the maximum value of the function sqrt2(sin x+ cos x) is 2.

Show that the maximum value of the function sqrt2(sin x+ cos x) is 2.

int_( then a=)^( If )(sin2x-cos2x)dx=(1)/(sqrt(2))sin(2x-a)+C

Integrate the following functions sqrt(sin2x) cos2x

int(dx)/(cos2x+sqrt(3)sin2x)

int(sinx+sin2x)/sqrt(cosx+cos2x)dx