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If $y=\sec ^{2} \theta+\cos ^{2} \theta$, where $0 < \theta < \frac{\pi}{2}$, then which one of
the following is correct?
Options:
the following is correct?
Solution:
1245 Upvotes
Verified Answer
The correct answer is:
$\mathrm{y} \geq 2$
Since, $\cos ^{2} \theta$ lies between 0 and 1 therefore,
$\sec ^{2} \hat{\theta}+\cos ^{2} \hat{\theta}>2, \forall 0 < \dot{\theta} < \frac{\pi}{2}$
$\therefore \quad y \geq 2$
$\sec ^{2} \hat{\theta}+\cos ^{2} \hat{\theta}>2, \forall 0 < \dot{\theta} < \frac{\pi}{2}$
$\therefore \quad y \geq 2$
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