If sinx=55/65 then sinx +cosx = ?

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Answer 1 · 2018-03-29T11:04:28

#89.6/65#

Sine is the #o/h# so we know the opposite is 55 and the hypotenuse is 65

So from this we can figure out the adjacent using Pythagoras

#c^2=a^2+b^2#

#(65)^2=(55)^2+b^2#

#4225=3025+b^2#

#1200=b^2#

#b=34.6# (3sf)

#Cos(x)=a/h=34.6/65#

So #sin(x)+cos(x)=(55+34.6)/65=89.6/65#