Question

if tan theta =4/3 find value of sin theta +cos theta /sin thea-cos theta​

Answer 1

Answer:

7

Step-by-step explanation:

Tan∅ = Opposite side / Adjacent side = 4/3

Let's say

Opposite side = 4

Adjacent side = 3

Then,

Hypotenuse side = sqrt(3² + 4²) = 5

sin∅ = Opposite / Hypotenuse = 4/5

cos∅ = Adjacent / Hypotenuse = 3/5

(sin∅ + cos∅) / (sin∅ - cos∅)

= (4/5 + 3/5) / (4/5 - 3/5)

= (7/5) / (1/5)

= 7