Trigonometrical Equations 3 Question 15
16. The larger of $\cos (\log \theta)$ and $\log (\cos \theta)$ if $\frac{-\pi}{2}<\theta<\frac{\pi}{2}$, is …… .
(1983, 1M)
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Answer:
Correct Answer: 16. $\cos (\log \theta)$
Solution:
- Since,
$$ \cos \theta \leq 1 \Rightarrow \log (\cos \theta)<0 $$
and
$\cos (\log \theta)>0$
$\therefore \quad \cos (\log \theta)>\log (\cos \theta)$
