5. $c o s^{- 1} (- \frac{1}{2})$

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Vishal Baghel | Contributor-Level 10

8 months ago

Let cos ^-1 $(\frac{- 1}{2})$ =y Then cos y = $\frac{- 1}{2}$ = − cos
$\frac{π}{3}$ $\frac{}{}$ cos $(π - \frac{x}{3})$

= cos $\frac{3 π - π}{3}$

= cos $\frac{2 π}{3}$

(E) We know that the range of principal value

branch of cos⁻¹ is [0, $π$ ] and cos $\frac{2 x}{3}$ = $\frac{- 1}{2}$

Principal value of cos−1 $(\frac{- 1}{2})$ is $\frac{2 x}{3}$

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