Question

if sec theta +tan theta=3 then find sin theta​

Answer 1

Answer:

sin θ = 4/5

Step-by-step explanation:

secθ+tanθ =3

1/cosθ + sinθ/cosθ=3

sinθ + 1 =3 cosθ

Squaring both sides

(1+ sinθ)² = 9 cos²θ

sin²θ + 2sinθ + 1 = 9(1-sin²θ)

sin²θ + 2sinθ + 1 = 9 -9 sin²θ

10 sin²θ + 2 sinθ - 8=0

5 sin²θ + sinθ - 4 = 0

sinθ= 4/5 , -1

sin θ= 4/5

Answer 2

Answer:

4/5

Step-by-step explanation:

5 sin ² theta +sin theta =0

sin =5 sin=4

sin theta =4/5