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

Related questions
See all questions in Relating Trigonometric Functions
Impact of this question
1729 views around the world
You can reuse this answer
Creative Commons License