Question

if sin 0 + coso 0/sin0 -coso 0 =3/5 , then find the value of 7tan 0+2 / 2tan 0 + 7​

Answer 1

Answer:

the value of 7tan 0+2 / 2tan 0 + 7 = -1

Explanation:

sin θ+ cosθ /sinθ -cosθ =3/5 ,

sin θ+ cosθ. 3

---------------- = ----

sin θ - cosθ. 5

Dividing. both Numerator & denominator by cosθ

(sin θ+ cosθ)/ cos θ. 3

--------------------------- = ----

(sin θ - cosθ.) / cosθ. 5

we get

( tan θ + 1 ). 3

----------------. = -----

( tan θ - 1 ). 5

cross multiplying

5 tan θ + 5 . = 3 tan θ - 3

5 tan θ - 3 tan θ = 3 - 5

2 tan θ = -2

tan θ = -1

7tan θ +2 7(-1) + 2. -5

------------. = ------------. = -----. = -1

2tan θ + 7. 2(-1) +7. 5