If a cos 2θ+b sin 2θ=c has α and β as its roots, that prove that (

1.	If a cos 2θ+b sin 2θ=c has α and β as its roots, that prove that (i) tan α+tan β=2ba+c (ii) tan α tan β=c−ac+a (iii) tan (α+β)=ba
Answer» If $a c o s 2 θ + b s i n 2 θ = c$ has $α a n d β$ as its roots, that prove that (i) $t a n α + t a n β = \frac{2 b}{a + c}$ (ii) $t a n α t a n β = \frac{c - a}{c + a}$ (iii) $t a n (α + β) = \frac{b}{a}$

If a cos 2θ+b sin 2θ=c has α and β as its roots, that prove that (i) tan α+tan β=2ba+c (ii) tan α tan β=c−ac+a (iii) tan (α+β)=ba

Answer»

If $a c o s 2 θ + b s i n 2 θ = c$ has $α a n d β$ as its roots, that prove that

(i) $t a n α + t a n β = \frac{2 b}{a + c}$

(ii) $t a n α t a n β = \frac{c - a}{c + a}$

(iii) $t a n (α + β) = \frac{b}{a}$