How to find the value of cosec210°?
Find the value of given trigonometric function
First, find the value of sin210°
We know that
sinα+β=sinαcosβ+cosαsinβ
Now by substituting the value of α=180° and β=30°in the trigonometric identity we get
sin180°+30°=sin180°cos30°+cos180°sin30°⇒sin180°+30°=0-1×12∵cos180°=-1,sin180°=0,cos30°=32andsin30°=12⇒sin210°=-12
Now, find the value of cosec210°
cosec210°=1sin210°∵cosecx=1sinxcosec210°=-2
Hence the value of cosec210° is -2.
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