The principal solution of cosθ=-12 is

cos θ=-12 cosθ=cosπ-π3=cos2π3 Principle value of θ∈[0,π] ⇒θ=2π3

The principal solution of cosθ=-12 is

cos θ=-12 cosθ=cosπ-π3=cos2π3 Principle value of θ∈[0,π] ⇒θ=2π3

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The principal solution of $cosθ = - \frac{1}{2}$ is

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$\frac{3 π}{5}$

$\frac{5 π}{6}$

$\frac{2 π}{3}$

$- \frac{π}{3}$

answer is C.

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Detailed Solution

$\cos θ = - \frac{1}{2} \cos θ = \cos (π - \frac{π}{3}) = \cos \frac{2 π}{3} Principle value of θ \in [0, π] \Rightarrow θ = \frac{2 π}{3}$

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The principal solution of cosθ=-12 is

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The principal solution of $cosθ = - \frac{1}{2}$ is