Principle Of Mathematical Induction

Question

Show that sec² θ + cos² θ can never be less than 2.

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Solution

sec squared straight theta plus cos squared straight theta space equals space sec squared straight theta plus cos squared straight theta minus 2 secθ space cosθ plus 2 secθ space cosθ

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So,

sec squared straight theta plus cos squared straight theta greater or equal than 2

Hence,

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can never be less than 2.

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