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

If x=cos e ctheta-sinthetaa n dy=cos e c^ntheta-sin^ntheta, then show that (x^2+4)((dy)/(dx))^2=n^2(y^2+4)dot

If cottheta+tantheta=x and sectheta-costheta=y then prove that (x^(2)y)^((2)/(3))-(xy^(2))^((2)/(3))=1

If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (x^2+4)((dy)/(dx))^2=n^2(y^2+4)

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 cottheta+tantheta=x and sectheta-costheta=y , prove that (x^2y)^(2/3)-(x y^2)^(2/3)=1

If sintheta=x and sectheta=y then find the value of cottheta

If tantheta+sectheta=1. 5 , find sintheta,tanthetaa n dsecthetadot

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

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 x = cos alpha + i sin alpha , y = cos beta + i sin beta , prove that x^(m)y^(n)+1/(x^m y^n) = 2 cos (m alpha + n beta) .