Q. Which one of the following is possible?
A) $\sin{\theta = \frac{a^{2} + b^{2}}{a^{2} - b^{2}},\ (a \neq b)}$
B) $\sec{\theta = \frac{4}{5}}$
C) $\tan{\theta = 45}$
D) $\cos{\theta = \frac{7}{3}}$
Explanation
(c)
Suppose $a = 2,\ b = 1$
$\sin{\theta = \frac{2^{2} + 1^{2}}{2^{2} - 1} = \frac{5}{3} > 1}$, which is not possible
$\sec{\theta = \frac{4}{5} < 1}$, which is not possible
$\tan{\theta = 45}$, which is possible
$\cos{\theta = \frac{7}{3} > 1}$, which is not possible
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.