Question

if 4 tan theta=3,evaluate 4 sin theta-cos theta + 1 divided by 4 sin theta + cos theta-one​

Answer 1

if 4tan=3

4sin-cos+1/4sin+cos-1

Answer 2

Answer: the answer should be 13/11

Step-by-step explanation: given,

4TanQ=3

ie, tanQ =3/4

p/b=3/4

Therefore p=3k and b=4k

Thus h=5k (by using Pythagorean’s theorm )

Now , sinQ =p/h = 3/5

         cosQ =b/h =4/5  ( the k will be canceled in both cases )

4*sinQ - cosQ +1 / 4*sinQ +cosQ -1    (Enter the values and simplify)  

Therefore answer = 13/11

Hope it’s correct if any mistake then pls do inform me