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  4. If y = sec2 θ + cos2 θ , θ ≠ 0 then

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Q. If $y = \sec^2 \, \theta + \cos^2 \, \theta , \theta \neq 0 $ then

Trigonometric Functions

Solution:

$y = \frac{1}{\cos^{2} \theta}+ \cos^{2} \theta \ge 2$
but $\theta \neq 0 , y \neq 2 \left[ \, if \, a > 0, a + \frac{1}{a} \geq 2 \right]$