First slide

Trignometry

Question

If $θ$ = 120º , then

Easy

A

$\sin θ = \frac{\sqrt{3}}{2}$
B

$\cos θ = \frac{1}{2}$
C

$\cot θ = \frac{1}{2}$
D

$\tan θ = \sqrt{3}$

Solution

$\sin 120 = \sin (180 - 60 °) = \sin 60 = \frac{\sqrt{3}}{2} (∵ S i n e i s p o s i t i v e i n I I q u a d r a n t) \cos 120 = \cos (180 - 60 °) = - \cos 60 = \frac{- 1}{2} (∵ \cos i n e i s n e g a t i v e i n I I q u a d r a n t) co t 120 = co t (180 - 60 °) = - co t 60 = \frac{- 1}{\sqrt{3}} (∵ co t i s n e g a t i v e i n I I q u a d r a n t) \tan 120 = \tan (180 - 60 °) = - \tan 60 = - \sqrt{3} (∵ \tan i s n e g a t i v e i n I I q u a d r a n t)$

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