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Given sintheta=(3)/(5). Find all the oth...

Given `sintheta=(3)/(5)`. Find all the other T-rations, if `theta` lies in the first quadrant.

Text Solution

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In `DeltaOMP, sin theta=(3)/(5)" "` So `" "MP=3 and OP=5`
`:. OM=sqrt((5^(2))-(3^(2)))=sqrt(25-9)=sqrt(16)=4`
Now, `cos theta=(OM)/(OP)=4/5 " "tan theta=(MP)/(OM)=(3)/(4) " " cot theta=(OM)/(MP)=(4)/(3)`
`sec theta=(OP)/(OM)=(5)/(4) " " cosec theta =(OP)/(MP)=(5)/(3)`
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