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

1 Answer
Nghi N
Apr 26, 2018

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^@

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