Question

Solve tan theta +1=-2tan theta

Answer 1

`\boxed{135\°,315\°}`

Explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

`\theta = 135+180n`

`n` is any integer value.

The value of
`n` cannot exceed 1 or be less than 0, because the value of
`\theta` must be between 0 and 360 degrees.

`\theta = 135+180(0)`

`\theta = 135`

`\theta = 135+180(1)`

`\theta = 315`