If cos θ + sec θ = √(3) , then the value of cos³ θ+ sec³ θ is:

If cos θ + sec θ = √(3) , then the value of cos³ θ+ sec³ θ…

If cos θ + sec θ = $\sqrt 3$ , then the value of cos³ θ+ sec³ θ is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 0.

Given that

If cos θ + sec θ = $\sqrt 3$ ,

Cubing both sides,

⇒ cos³ θ + sec³ θ + 3 cos θ sec θ (cos θ + sec θ) = 3 $\sqrt 3$

⇒ cos³ θ + sec³ θ + 3 $\sqrt 3$ = 3 $\sqrt 3$

⇒ cos³ θ + sec³ θ = 0