Question

Given that sin x + cos x = 1/5. Then tan x is equal to:

Answer 1

Answer: -4/3 or 3/4

Step-by-step explanation:

given that

sin x + cos x =1/5

by squarring both the side

(sin x + cos x)² = 1/25

⇒sin²x+cos²x + 2sin x cos x=1/25

⇒1+sin 2x=1/25

⇒sin 2x =1/25 -1

⇒sin 2x = -24/25

as we know the triplet (24,7,25)

tan 2x = -24/7

by solving we get tan x = - 4/3 or 3/4

Answer 2

Answer:

tanx=4/-3 or -3/4

Step-by-step explanation:

see the photo attached