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Question

Find the value of other five trigonometric ratios:
cotx=34, x lies in third quadrant.

Solution
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cotx=34
tanx=1cotx=43
Now 1+tan2x=sec2x
sec2x=1+169sec2x=259
secx=±53
Since x lies in third quadrant, the value of secx will be negative.
secx=53
cosx=1secx=35
tanx=sinxcosxsinx=(43)×(35)=45
cscx=1sinx=54

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