Question

Determine the general solution of -4sinx = 5cosx​

Answer 1

Explanation:

Divide both sides by cosine to get:

`- 4tan(x) = 5`

Divide both sides by -4 to get:

`tan(x) = - (5)/(4)`

Take the arctangent of both sides to get:

`x = arctan( - (5)/(4) )`

Plus any integer rotation of pi (180 degrees)