You can
put this solution on YOUR website!
6·tanθ + secēθ = 8
Use the identity: secēθ = 1 + tanēθ
6·tanθ + 1 + tanēθ = 8
Get 0 on the right side and arrange in
descending order:
tanē + 6·tanθ - 7 = 0
That factors as:
(tanθ + 7)(tanθ - 1) = 0
tanθ + 7 = 0 tanθ - 1 = 0
tanθ = -7 tanθ = 1
Maybe you can finish from here. You didn't say whether you
wanted the solutions in radians or degrees and whether you
wanted only the solutions in the interval [0,360°), [0,2p)
or whether you wanted all infinitely many solutions by writing
an expression in terms of integer n.
Edwin
