`cos((3x)/2)=1/2`

If y=logsqrt((1-cos((3x)/(2)))/(1+cos ((3x)/(2)))),"then "dy/dx=

int_(-2)^(2)(x^(3)cos(x)/(2)+(1)/(2))sqrt(4-x^(2))dx

y=log(sqrt((1-cos(3(x)/(2)))/(1+cos(3(x)/(2))))) differentiate wr.t.

Prove that, int(cos 5x + cos4x)/(1-2cos 3x)dx= -(1/2 sin2x + sinx)+c

If f:R to R is function defined by f(x) = [x]^3 cos ((2x-1)/2)pi , where [x] denotes the greatest integer function, then f is :

If f(x)=cos^(-1)x+cos^(-1){(x)/(2)+(1)/(2)sqrt(3-3x^(2))} then

If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)} then

If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)} then

Evaluate : cos^(-1)x+cos^(-1)[(x)/(2)+(sqrt(3-3x^(2)))/(2)]((1)/(2) le x le 1)