Question

If sin x + cos x is equal to 1 by 5 then what is tan x

Answer 1

Step-by-step explanation:

sinx + cosx = 1/5

(sinx + cosx)^2 = 1/25

(sinx)^2 + (cosx)^2 + 2sinxcosx = 1/25

1 +2sinxcosx = 1/25

2sinxcosx = 1/25 - 1

2sinxcosx = -24/25

2tanx × (cosx)^2 = -24/25

2tanx/(secx)^2 = - 24/25

2tanx/ 1 +(tanx)^2 = -24/25

50tanx = -24 -24(tanx)^2

12(tanx)^2 + 25tanx + 12 = 0

after applying sridhar acharya formula you get

tanx = (-4/3) or (-3/4)