[" (iv) "tan x+cos2x=0],[" (v) "sin3x+cos2x=0]

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

Find the extreme values of the following function over R. (i) sin^(2) (60^(0) + x) + sin^(2) (60^(0) - x) (ii) cos (x+ (Pi)/(3) ) + 2sqrt(2) sin (x+ (pi)/(3))-3 (iii) 3 sin^(2) x+ 5 cos^(2) x (iv) cos 2 x+ cos^(2) x (v ) cos x cos ((2pi)/(3) + x) cos ((2pi)/(3)-x)

Find the general solution of each of the following equations : (i) sin3x=0 (ii) "sin"(3x)/(2)=0 (iii) (x+(pi)/(5))=0 (iv) cos2x=0 (v) "cos"(5x)/(2)=0 (vi) cos(x+(pi)/(10))=0 (vii) tan2x=0 (viii) tan(3x+(pi)/(6))=0 (ix) tan(2x-(pi)/(4))=0

cos3x-cos2x=sin3x

2tanx = sin4x - 2sin2x cos2x tan^(2)x

Solve 4cos x(2 -3sin^(2)x)+cos2x+1=0

cos2x-sin2x>=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