Question

How do you solve `2tanx-4=1` in the interval [0,360]?

Answer 1

`x` is equal to `68.2^o` or `248.2^o`

Explanation:

As `2tanx-4=1`, we have

`2tanx=1+4=5` and

`tanx=2.5`

from tables `tan68.2^o=2.5`

Hence, one solution is `x=68.2^o`. Now as the ratio tangent has a cycle of `180^o`, other solution in the interval `[0,360^o]` is `180^o + 68.2^o=248.2^o`.

Hence `x` is equal to `68.2^o` or `248.2^o`