SATHEE: Trigonometrical Equations 3 Question 15

Trigonometrical Equations 3 Question 15

16. The larger of $\cos (\log θ)$ and $\log (\cos θ)$ if $\frac{- π}{2} < θ < \frac{π}{2}$ , is …… .

(1983, 1M)

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Answer:

Correct Answer: 16. $\cos (\log θ)$

Solution:

Since,

$\cos θ \leq 1 \Rightarrow \log (\cos θ) < 0$

and

$\cos (\log θ) > 0$

$∴ \cos (\log θ) > \log (\cos θ)$

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Trigonometrical Equations 3 Question 15

16. The larger of cos⁡(log⁡θ) and log⁡(cos⁡θ) if −π2<θ<π2, is …… .

Answer:

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16. The larger of $\cos (\log θ)$ and $\log (\cos θ)$ if $\frac{- π}{2} < θ < \frac{π}{2}$ , is …… .