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)).

Find the equation whose roots are the 7^(th) powers of the roots of the equation x^2-2xcostheta+1=0

Find the equation whose roots are 2 times the roots of x^(5)+2x^(2)-4x+1=0

The equation whose roots are greater by 1 than those of 2x^(2)-3x+1=0 is:

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

Write the area of the triangle formed by the coordinate axes and the line (s e ctheta-t a ntheta)x+(s e ctheta+t a ntheta)y=2.

The equation whose roots are 2 times the roots of x^(3)+3x^(2)-5x+1=0 is