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  • Find all other trigonometrical ratio if sinx=-2square root 6/5 and x lies in quadrant 3rd

Find all other trigonometrical ratio if sinx=-2square root 6/5 and x lies in quadrant 3rd

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Solution: We have ,

\ sin^2x+cos^2x=1Rightarrow cosx=pm sqrt1-sin^2x

In the third quadrant cosx is negative

herefore cosx=-sqrt1-24/25=-1/5

In third quadrant tanx is positive

herefore tanx=sinx/cosx=-2sqrt6/5 imes -5/1=2sqrt6

Now ,cosecx=1/sinx=-5/2sqrt6,secx=1/cosx=-5,cotx=1/tanx=1/2sqrt6

Posted by

Deependra Verma

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