Question

Match the trigonometric equations from List-
I to solutions in List-II

List-I	List-II
I) $Cosx=-\frac{1}{2}$	$a$) $x=\frac{7\pi }{3}$
||) Sinx $=\frac{\sqrt{3}}{2}$	b) $x=\frac{7\pi }{6}$
|||) Tanx ${=}^{\frac{1}{\sqrt{3}}}$	c) $x=\frac{8\pi }{3}$
IV) Cot x $=$1	d) $x=\frac{3\pi }{4}$ $e)x=\frac{5\pi }{4}$

• A. $b,d,c,a$
• B. $c,a,b,e$
• C. $b,c,e,a$
• D. $b,e,e,a$

Answer 1

Answer: (B)

$c,a,b,e$

$\cos \frac{8\Pi }{3}=\cos \frac{2\Pi }{3}=-\frac{1}{2}$
$\sin \frac{7\Pi }{3}=\sin \frac{\Pi }{3}=\frac{\sqrt{3}}{2}$
$\tan \frac{7\Pi }{6}=\tan \frac{\Pi }{6}=\frac{1}{\sqrt{3}}$
$\cot x=1$ holds if $x=\frac{5\Pi }{4}$