If (m+2)sin ø + (2m-1)cos ø = 2m+1 then tan ø is equal to

Answer 1

using x to avoid copy/paste of ø,

m sinx + 2sinx + 2m cosx - cos x = 2m+1
(sinx + 2cosx)m + (2sinx - cosx) = 2m+1
If these are identical, then

sinx + 2cosx = 2
2sinx - cosx = 1

sinx = 4/5
cosx = 3/5

tanx = 4/3

Answer 2

Please explain clearly

Answer 3

Don't get confused by the statement - "if both sides are identical".. He is just comparing both the sides.