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Solve the equation for the positive values of (theta) less than 360o. 3 tan (theta)…

Solve the equation for the positive values of (theta) less than 360^o. 3 tan (theta) + 2 = -1

A.
135^o or 315^o
B.
45^o or 135^o
C.
315^o or 180^o
D.
315v + 45^o
E.
360^o or 315^o

Correct Answer: Option A

Explanation

3 tan (theta) + 2 = -1
3 tan (theta) (frac{-3}{3}) = -1
(theta) = tan -1(-1)
(theta) = 360^o – 45^o
= 315^o
(theta) = 180 – 45^o = 135^o