Question

Which among the following option(s) is/are NOT possible?

• A. $\sin \theta =2020$
• B. $\tan \theta =2020$
• C. $\sec \theta =\frac{2020}{2021}$
• D. $\cos \theta =\frac{2020}{2021}$

Answer 1

Answer: (A), (C)

$\sec \theta =\frac{2020}{2021}$

Range of $\sin \theta$ is $[-1,1].$
Hence, $\sin \theta =2020$ is not possible.

Range of $\tan \theta$ is $R.$
Hence, $\tan \theta =2020$ is a possible value.

Range of $\sec \theta$ is $(-\infty -1]\cup [1,\infty ).$
Hence, $\sec \theta =\frac{2020}{2021}<1$ is not possible.

Range of $\cos \theta$ is $[-1,1].$
Hence, $\cos \theta =\frac{2020}{2021}<1$ is a possible value.