Question

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

Answer 1

In `DeltaOMP, sin theta = (3)/(5) So MP = 3 " and " OP=5 :. OM = sqrt((s)^(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)`