Question #62169

1 Answer
A08
Jun 4, 2016

#2 2/15#

Explanation:

Given #sintheta=3/5#
we know that in a right triangle as given in the figure below
![http://www.everythingmaths.co.za](https://useruploads.socratic.org/88DEaZlOSUSLvz3Xfpl0_09c2c07952caf5af416b94736485694b.png)
#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#

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