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If $- \frac{π}{2} < θ < \frac{π}{2}$ , then the minimum value of $\cos^{3} θ + \sec^{3} θ$ is

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Correct option is B

We know that A.M.≥G.M.∴ cos3⁡θ+sec3⁡θ2≥cos3⁡θ×sec3⁡θ⇒ cos3⁡θ+sec3⁡θ≥2.Hence, the minimum value of cos3⁡θ+sec3⁡θ is 2.

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If −π2<θ<π2, then the minimum value of cos3⁡θ+sec3⁡θ is

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If $- \frac{π}{2} < θ < \frac{π}{2}$ , then the minimum value of $\cos^{3} θ + \sec^{3} θ$ is