Question

Solve the equation.
sec 3x = -2

Answer 1

To solve this equation we use application of inverse Trigonometric function

$sec \: 3x = - 2$

taking ${sec}^{ - 1}$
both sides

${sec}^{ - 1} (sec \: 3x) = {sec}^{ - 1} ( - 2) \\ \\ 3x = {sec}^{ - 1} ( - sec \frac{\pi}{3} ) \\ \\ 3x = \pi - \frac{\pi}{3} \\ \\ 3x = \frac{2\pi}{3} \\ \\ x = \frac{2\pi}{9}$

Answer 2

Answer:2pi/9

Step-by-step explanation:

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