Question

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

Answer 1

In `Delta OMP, sin theta=(3)/(5)` so MP=3 and OP=5
`because OM=sqrt((5)^(2)-(3)^(2))=sqrt(25-9)=sqrt(!6)=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)`