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

Mathematics

JAMB 1980

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

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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

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

Correct Answer: Option A

Explanation

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