Question

If 7 tan θ = 4, then (7 sinθ-3 cos⁡θ)/(7 sinθ+3 cosθ) equals

Answer 1

Answer:

1/7

Step-by-step explanation:

7tanθ=4

(7 sinθ-3 cos⁡θ) / (7 sinθ+3 cosθ)

Dividing Up and side by cos⁡θ

(7 sinθ/cosθ -3 cos⁡θ/cosθ) / (7 sinθ/cosθ+3 cosθ/cosθ)

=(7tanθ-3) / (7tanθ+3)

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

=1/7