Question

How do you solve `3tan2(x+1)=6`?

Answer 1

`30^@72, 120^@72`

Explanation:

3 tan 2(x + 1) = 6
`tan 2(x + 1) = 6/3 = 2`
Calculator and unit circle give 2 solutions to 2(x + 1) -->
a. `2(x + 1) = 63^@43`
`x + 1 = 31^@72`
`x = 30^@72`
b. `2(x + 1) = 63.43 + 180 = 243^@43`
`(x + 1) = 121^@72`
`x = 120^@72`
General answers:
`x = 30^@72 + k180^@`, and
`x = 120^@72 + k180^@`