If tan x + sec x=1 5, then find sin x, tan x and sec x - Maths - Introduction to Trigonometry

Question

If tan x + sec x=1 5, then find sin x, tan x and sec x

Shruti Tyagi · Accepted Answer

Dear student,

tanx+secx=1
5          --[1]⇒tanx=
1 5 -secxOn squaring both sides⇒tan2x= 2 25 -
3secx+sec2x⇒tan2x-sec2x= 2 25 - 3secx⇒-1 = 2 25 -
3secx⇒3secx=2
25+1⇒secx=325300⇒secx=1312also, cosx=1213Now, from [1] tanx+secx=1
5⇒ tanx+1312=1 5⇒ tanx=1
5-1312⇒ tanx=18-1312⇒ tanx=512also,  tanx=sinxcosx⇒sinx=tanx
cosx⇒sinx=512×1213⇒sinx=513
Regards

If tan x + sec x=1.5, then find sin x, tan x and sec x.