Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the solution? If sin x=8/17, sin y= 15/17, and 0<x< π/2, 0<y<π/2; then x+y= π/2. Prove it!

1 Answer

Konstantinos Michailidis

Nov 1, 2015

If #sinx=8/17# then #cosx=sqrt(1-8^2/17^2)=>cosx=15/17#

and #siny=15/17# then #cosy=sqrt(1-15^2/17^2)=>cosy=8/17#

So we have that

#sin(x+y)=sinx*cosy+cosx*siny=(8^2+15^2)/17^2=1#

Hence because #sin(x+y)=1=>x+y=pi/2#

Related questions

See all questions in Sum and Difference Identities

Impact of this question

4851 views around the world

You can reuse this answer
Creative Commons License