[" 1."x^(3)+3x^(2)+3x+1(1)/(4)" fruffaren "#2 pi pi(1)/(4)pi],[[" (i) "x+1," (ii) "x-(1)/(2)," (ii) "x+pi," (v) "5+2x]]

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by : (i) x+1 " " (ii) x-(1)/(2) " " (iii) x " " (iv) x+pi " " (v) 5+2x

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by : (i) x+1 " " (ii) x-(1)/(2) " " (iii) x " " (iv) x+pi " " (v) 5+2x

Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x-1/2 (iii) x (iv) x+pi (v) 5+2x

Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x-1/2 (iii) x (iv) x+pi (v) 5+2x

Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x-1/2 (iii) x (iv) x+pi (v) 5+2x

Find the remainder when x^3+3x^2+3x+1 is divided by (i) x+1 (ii) x-1/2 (iii) x (iv) x+pi (v) 5+2x

Find the remainder when x+3x^2+3x+1 is divided by (i) (x+1) (ii) x-1/2 (iii) x (iv) x+pi (v) 5+2x

tan^(-1)2x+tan^(-1)3x=(pi)/(4)

Find the remainder when x^(3)+3x^(2)+3x+1 is divided by (i) x+1 (ii) x-1//2 (iii) x (iv) x+pi (v) 5+2x

Prove that (i) "cos " ((pi)/(3) +x) =(1)/(2) ( " cos " x - sqrt(3) sin x) (ii) " sin " ((pi)/(4) + x) + " sin " ((pi)/(4)-x) =sqrt(2) " cos " x (iii) (1)/(sqrt(2)) " cos ((pi)/(4) + x) = (1)/(2) " (cos x - sin x) " (iv) " cos x + cos " ((2pi)/(3) +x) + " cos " ((2pi)/(3)-x) =0