Question

Which of the following is/are negative?
(angles in following options are mentioned in radians)

• A. $\sin 3$
• B. $\sin 6$
• C. $\sin 8$
• D. $\sin 10$

Answer 1

Answer: (B), (D)

The correct options are
B $\sin 6$
D $\sin 10$

As we know that $1\text{radian}\simeq 57°{18}^{\prime }$
$\therefore 3\text{radians}\simeq 171°{54}^{\prime }\Rightarrow \sin 3\to +ive6\text{radians}\simeq 343°{48}^{\prime }\Rightarrow \sin 6\to -ive8\text{radians}\simeq 360°+98°{24}^{\prime }\Rightarrow \sin 8\to +ive10\text{radians}\simeq 360°+213°\Rightarrow \sin 10\to -ive$