Q23Long answer
If a cos 2θ + b sin 2θ = c has α and β as its roots, then prove that 2b tanα + tan β = . a+c 1 − tan 2 θ 2 tan θ [Hint: Use the identities cos 2θ = 2 and sin 2θ = ]. 1 + tan θ 1 + tan 2 θ
If a cos 2θ + b sin 2θ = c has α and β as its roots, then prove that 2b tanα + tan β = . a+c 1 − tan 2 θ 2 tan θ [Hint: Use the identities cos 2θ = 2 and sin 2θ = ]. 1 + tan θ 1 + tan 2 θ