Question

We know that 5 tan theta-4=0 ,then find (5 sin theta-4 cos theta) ÷(5 sin theta+4 cos theta)

Answer 1

Answer:

0

Step-by-step explanation:

Given - 5tanθ-4 = 0

therefore, tanθ = 4/5

wkt tanθ = opposite side / adjacent side

so, opposite side = 4 , adjacent side = 5

by pythagoras theorem, hypotenuese = √41

from this, we can write - sinθ = 4/√41

                                        cosθ = 5/√41

by substituting these values in the given equation ,

5( 4/√41) - 4( 5/√41) ÷ 5( 4/√41) + 4( 5/√41)

20 - 20/√41 ÷ 20 + 20/√41

0/40 = 0