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Which one of the following is true for 0° < θ < 90° ?

A. cosθ ≤ cos2θ

B. cosθ < cos2θ

C. cosθ > cos2θ

D. cosθ ≥ cos2θ

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Put, }}\theta = {60^ \circ } \cr & \Rightarrow \cos \theta > {\cos ^2}\theta \cr & \Rightarrow \cos {60^ \circ } > {\cos ^2}{60^ \circ } \cr & \Rightarrow \frac{1}{2} > \frac{1}{4} \cr & \cos \theta > {\cos ^2}\theta \cr} $$

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Comments ( 1 )

  1. Tahsin Mahmud
    Tahsin Mahmud :
    7 months ago

    Shouldn't the answer be D, for cos0 and cos 90

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