WILL MAKE YOU BRAINLIEST!!!!Which of the following best explains why mc021-1.jpg?

Option D is correct.The best explanation for the following [tex]\tan \frac{5 \pi}{6}[/tex]≠  [tex]\tan \frac{5 \pi}{6}[/tex] is; The angles do not have the same reference angle or the same sign.Explanation:Why: [tex]\tan \frac{5 \pi}{6}[/tex]≠  [tex]\tan \frac{5 \pi}{6}[/tex] *Every trigonometry function is positive in the first quadrant.  *In second quadrant only sin is positive and its inverse cosec. Rest all the function are negative. *In third quadrant gives positive value only for tan and its inverse i.e cot *In fourth quadrant gives positive value only for cos and its inverse sec.The value of  [tex]\tan \frac{5 \pi}{6}[/tex] = -0.57735026919and the value of  [tex]\tan \frac{5 \pi}{6}[/tex] = -1.73205080757.therefore, the values of [tex]\tan \frac{5 \pi}{6}[/tex]≠  [tex]\tan \frac{5 \pi}{6}[/tex].Also,the angle [tex]\frac{5\pi}{6}[/tex] lies in the second quadrant and the angle [tex]\frac{5\pi}{3}[/tex] lies in the fourth quadrant.Hence, the angles do not have the same reference angle or the same sign.