Question

If 4 Tan A=3, 4 Sin A- Cos A/ 4 Sin A+ Cos A

Answer 1

Answer:

tanA=3/4 and know find out other trignometry function by paythagorash theorem

just as sinA and cosA and

when you find the values of sinA and cosA

then you applied that values in L.H.S and find a right answer

Answer 2

Step-by-step explanation:

4tan = 3 ⇒ tan = 3/4

we know, tan = perpendicular/base

so, after comparing , perpendicular = 3 and base = 4

∴ hypotenuse = √(3² + 4²) = 5

now, sin = perpendicular/hypotenuse = 3/5

cos = base/hypotenuse = 4/5

now, (4sin - cos + 1)/(4sin + cos - 1)

= (4 × 3/5 - 4/5 + 1)/(4 × 3/5 + 4/5 - 1)

= (12 - 4 + 5)/(12 + 4 - 5)

= 13/11