Plot `y=sin(x+(pi)/(4)) and y =sin(x-(pi)/(4))`.

Evaluate: lim_(xrarr(pi)/(4)) (sin x -cos x)/(x-(pi)/(4))

Evaluate lim_(x to (pi)/(4)) ("sin" x - cos x)/(x - (pi)/(4))

cos((pi)/(4)-x)cos((pi)/(4)-y)-sin((pi)/(4)-x)sin((pi)/(4)-y)=sin(x+y)

Plot y=sinx and y=sin(x/2)

The value of lim_(x to (pi)/(4)) ("sin" x - cos x)/((x - (pi)/(4))) equals

If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(1/2-(pi^2)/(64)) (b) y= sqrt(1/2-(pi^2)/(64))-pi/(12) (c) x=pi/(12)+sqrt(1/2-(pi^2)/(64)) (d) y=sqrt(1/2-(pi^2)/(64))-pi/8

Draw the graph of the functions on the same axes: y= sin x and y= sin (x- pi/4)

Find the incentre of a triangle formed by the lines x "cos" (pi)/(9) + y "sin" (pi)/(9) = pi, x "cos" (8pi)/(9)+ y "sin" (8pi)/(9) = pi " and x "cos" (13pi)/(9) + y "sin" ((13pi)/(9)) = pi.

Evaluate int_(0)^(pi//4)(e^(secx)[sin(x+(pi)/(4))])/(cosx(1-sin x))dx

Slope of tangent to the curve y=2e^(x)sin((pi)/(4)-(x)/(2))cos((pi)/(4)-(x)/(2)) , where 0le xle2pi is minimum at x =