" (ii) "sin(3x)/(2)=0

Find the principal solutions of each of the following equations : (i) sinx=(-1)/(2) "sin "(3x)/(2)=0 (iii) sin(x+(pi)/(5))=0 (iv) cos2x=0 (v) "cos"(5x)/(2)=0 (vi) cos(x+(pi)/(10))=0

General solution of sin((3x)/(2))=0 is

If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

Discuss the continuity of the function f(x)={(sin 3x)/(2x),whenx!=0),(3/2,when x=0):} .at x=0

If the function defined by f(x) = {((sin3x)/(2x),; x!=0), (k+1,;x=0):} is continuous at x = 0, then k is

Find the general solution for each of the following equations : (i) cos4x=cos2x (ii) cos3x=sin2x (iii) sin3x+cos2x=0 (iv) sinmx+sinnx=0

The number of all the possible triplets (a_(1), a_(2), a_(3)) such that a_(1) + a_(2) cos (2 x) + a_(3) sin^(2) (x)=0 for all x is

If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",", x = 0):} is continuous at x = 0 , then value of k is