Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Write the Least Value of Cos2 X + Sec2 X. - Mathematics

Write the least value of cos2 x + sec2 x.

 
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Solution

We know:
cos x can take the minimum value of -1.
cos2 x + sec2 x
\[= \frac{\cos^4 x + 1}{\cos^2 x}\]
\[ = \frac{\left( - 1 \right)^4 + 1}{\left( - 1 \right)^2}\]
\[ = 2\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 5 Trigonometric Functions
Q 15 | Page 41
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