Question

find the value of the following trigonometric ratio​

Answer 1

Here Is Your Ans ⤵

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Ans :-

$\fbox{ \fbox{ - \frac{ \sqrt{3} }{2} }}$

Given :-

$\fbox{ \fbox{\cos( \frac{19\pi}{6} )}}$

To Find :-

$\fbox{ \fbox{ \: Value \: OF \: Given \: Trigonometric \: Ratio }}$

Solution :-

$= > \cos( \frac{19\pi}{6} ) \: radian \\ = > \cos( \frac{180}{\pi} \times \frac{19\pi}{6} ) = \cos(570 ) \: degree \\ \\ = > \cos(570) \\ = > \cos(360 \times 2 - 150) \\ = > \cos(150) \\ \\ = > \cos(150) \\ = > \cos(180 - 30) \\ = > - \cos(30) \\ = > - \frac{ \sqrt{3} }{2}$

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Answer 2

Answer:

=>cos(

6

19π

)radian

=>cos(

π

180

×

6

19π

)=cos(570)degree

=>cos(570)

=>cos(360×2−150)

=>cos(150)

=>cos(150)

=>cos(180−30)

=>−cos(30)

=>−

2

3