If cos θ + sec θ = √5, then the value of cos³ θ+ sec³ θ is:
cos θ + sec θ = √5 cos³ θ+ sec³ θ = (cos θ + sec θ)3 - 3 ×cos θ × sec θ (cos θ + sec θ) = (√5)3 - 3× cos θ×1/ cos θ (√5) =5√5 -3√5 =2√5
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