NTA Abhyas JEE Main2020MathematicsInverse Trigonometric FunctionsPractice
If 3 t a n - 1 1 2 + 3 - t a n - 1 1 3 = t a n - 1 1 x , then the value of x is equal to
Correct answer
2
Step-by-step solution
The given equation can be written as 3 t a n - 1 2 - 3 = t a n - 1 1 x + t a n - 1 1 3 ⇒ 3 1 5 o = t a n - 1 1 x + 1 3 1 - 1 x 1 3 ⇒ 1 = 3 + x 3 x - 1 ⇒ x = 2