Question

If tan θ = 3, then 4sinθ−cosθ4sinθ+cosθ is equal to

Answer 1

Answer:

(13√10 - 12)/10

Step-by-step explanation:

Tan∅ = 3, which means that Opposite/Adjacent = 3.

So, Opposite = 3 and Adjacent = 1.

Hypotenuse² = 3² + 1²  ⇒  Hypotenuse = √10.

Substituting the values, we get

4(O/H) - (A/H)4(O/H) + A/H

4(3/√10) - (1/√10) 4(3/√10) + 1/√10

12/ √10 - 12/10 + 1/√10

13/√10 - 12/10

(13√10 - 12)/10