Question

Solve tan theta +1=-2tan theta

Answer 1

Answer:

$\boxed{135\°,315\°}$

Step-by-step 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.

$\theta = 135+180(0)$

$\theta = 135$

$\theta = 135+180(1)$

$\theta = 315$