Question

Solve the equation
tan^2 thetha-3 tan thetha+2=0 for 0

Answer 1

Explanation:

`\tan^2 \theta - 3\tan \theta + 2 = 0`

Let
`x = \tan \theta`

We can then write

`x^2 -3x + 2 = 0\:\:\Rightarrow\:\:(x - 2)(x - 1) = 0`

or

`(\tan \theta - 2)(\tan \theta - 1) = 0`

The zeros occur when

`\tan \theta = 2\:\:\:\text{or}\:\:\:\tan \theta = 1`

or when
`\theta = 63.4°` or
`\theta = 45°`.