If `cos e ctheta-sintheta=a^3,sectheta-costheta=b^3,` Prove that : `a^2b^2(a^2+b^2)=1`

If cosectheta-sintheta=a^3, sectheta-costheta=b^3 , then prove that a^2b^2(a^2+b^2)=1

If cos e ctheta-sintheta=l and sectheta-costheta=m , prove that l^2m^2(l^2+m^2+3)=1

If cos e ctheta-sintheta=m and sectheta-costheta=n , prove that (m^(2)n)^(2/3)+(m n^2)^(2/3)=1

If x/a costheta+y/b sintheta=1 and x/a sintheta-y/bcostheta=1 Prove that : (x^2)/(a^2)+(y^2)/(b^2)=2

If sintheta+costheta=p and sectheta+costheta=q , then prove that q(p^(2)-1)=2p

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=1

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)=1/(tantheta+cottheta)

If sintheta_1-sintheta_2=a a n d costheta_1+costheta_2=b , then (a) a^2+b^2geq4 (b) a^2+b^2lt=4 (c) a^2+b^2geq3 (d) a^2+b^2lt=2

If sintheta_1-sintheta_2=a a n d costheta_1+costheta_2=b , then (a) a^2+b^2geq4 (b) a^2+b^2lt=4 (c) a^2+b^2geq3 (d) a^2+b^2lt=2

If sintheta_1-sintheta_2=a a n d costheta_1+costheta_2=b , then (a) a^2+b^2geq4 (b) a^2+b^2lt=4 (c) a^2+b^2geq3 (d) a^2+b^2lt=2