my college hive icon mycollegehive
Groups
My College Hive notifiction icon Questions
Connect / Friends
Tags
Quiz
Books
Given that tan x=5/2 what is the value of sinx + cosx
up
0
down

Given that tan x=5/2 what is the value of sinx + cosx

58 views
Share Follow
peter
Asked by peterrep:1.4K
University of Lagos Nigeria
16 July 2020

Comments





1 answer(s)

judziy
Judziy answeredrep:1.4K
University of Benin Nigeria
16 July 2020
up
0
down

tanx = 5/2

from trigonometry, tanx = opp/adj

opp = 5

adj = 2

Also, from pythagoras theorem, hyp2 = opp2 + adj2

hyp2 = 52 + 22

hyp2 = 25 + 4

take the square root of both sides,

hyp = √29

sinx = opp/hyp = 5/√29

cosx = adj/hyp = 2/√29

Therefore, sinx + cosx = 5/√29 + 2/√29

= (5+2)/√29

= 7/√29

Share
Comments






Your Answer

my college hive loader icon



Related Tags