Trigonometric EquationHard

Question

General Solution of θ which is satisfies the equations sin θ = - and tan θ =

Options

A.nπ + (-1)n π/6
B.nπ + π/6
C.2nπ ± π/6
D.None of these

Solution

sin θ = - and tan θ =   ⇒ θ =
sin θ = sin (π + )
⇒ θ = 7π/6
sin θ = sin (2π - )
= sin ⇒ θ =
General solution θ = 2nπ +

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