Question

Question #62169

Answer 1

`2 2/15`

Explanation:

Given `sintheta=3/5`
we know that in a right triangle as given in the figure below

`Sin theta="opposite"/"hypotenuse"=3/5`
From Pythagoras theorem
`"adjacent "=sqrt(5^2-3^2)`
`"adjacent "=sqrt(25-9)=sqrt16=4`

From figure
`cos theta+cottheta="adjacent "/"hypotenuse"+"adjacent "/"opposite"`
`=4/5+4/3`
`=(4xx3+4xx5)/15`
`=32/15`
`=2 2/15`