If roots of equation `3x^2+5x+1=0 are (sectheta_1-t a ntheta_1)a n d(cos e ctheta_2-cottheta_2)dot` Then find the equation whose roots are `(sectheta_1+t a ntheta_1)a n d(cos e ctheta_2+cottheta_2)dot`

If roots of equation 3x^(2) + 5x + 1 = 0 are (sectheta_(1) - tentheta_(1)) and (cosectheta_(2)-cottheta_(2)), then find the equation whose roots are (sectheta_(1)+tantheta_(1) and (cosectheta_(2) + cottheta_(2)).

If x=sectheta-tanthetaa n dy=cos e ctheta+cottheta, then prove that x y+1=y-xdot

Prove that (1+cottheta-cosectheta)(1+tantheta+sectheta)=2

The equation whose roots are the squares of the roots of the eqation 2x^(2)+3x+1=0 is

If alpha and beta are the roots of 3x^2+7x-5=0 form the equations whose roots are alpha-1 and beta-1 .

If cos e ctheta-cottheta=q , then the value of cos e ctheta is (a) q=1/q (b) q-1/q 1/2(q+1/q) (d0 none of these

If alpha and beta are the roots of 2x^2-5x+3=0 form the equation whose roots are alpha+beta and 1/alpha+1/beta

If alpha, beta , gamma are the roots of the equation x^3-3x+2=0 then the equation whose roots are 1/alpha,1/beta,1/gamma is :

Prove that (tan(90^(@)-theta))/(cosectheta+1)+(cosectheta+1)/cottheta=2sectheta