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(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)`