Question

tan theta=5/12, find sin theta +cos theta​

Answer 1

Answer:

tantheta =p/b

so given tan theta =5/12

p=5 and b=12

use pythagores theorem and find out hypotenuse

h^2=((b) ^2+(p) ^2)

h^2= ( 12^2+5^2)

h^2=144+25

h^2=169

h=√169

h=13

sin theta =p/h

= 5/13

cos thea =b/h

=12/13

so sintheta+costheta

=5/13+12/13

=17/13...

therefore answer is 17/13

Answer 2

Answer:

17/13

Step-by-step explanation:

use formula H2 = p2 + b2

by this formula we find value of third side

h = 13

sin theata = p/ h = 5/13

cos theata = b/ h = 12/13

According to question

5/13 + 12/13 = 17/13

sin theata + cos theata is 17/13

i hope you understant