Question

if 3cosø-4sinø=2cosø+sinø find tanø its emergency

Answer 1

Given that  3cosø-4sinø=2cosø+sinø

⇒3cos∅ - 2cos = sin∅ + 4 sin∅
⇒cos∅ = 5 sin∅
⇒cos∅/ sin∅ = 5  (Cot∅= cos∅/sin∅)
⇒cot∅ = 5/1

Note that 1/cot∅ = tan∅

So tan∅= 1/5 

Answer 2

I hope this will help you