Solve the equation for the positive values of \(\theta\) less than 360o. 3 tan \(\theta\) + 2 = -1
A
135o or 315o
B
45o or 135o
C
315o or 180o
D
315v + 45o
E
360o or 315o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
3 tan \(\theta\) + 2 = -1
3 tan \(\theta\) \(\frac{-3}{3}\) = -1
\(\theta\) = tan -1(-1)
\(\theta\) = 360o - 45o
= 315o
\(\theta\) = 180 - 45o = 135o
Source: Myschool Past Questions Archive (Record #32635)