Trigonometric EquationHard

Question

Let
tan^-1 y = tan^-1 x + tan^-1 ,
where |x| < . Then a value of y is :

Options

A.

B.

C.

D.

Solution

tan^-1y = 3 tan^-1x = tan^-1
∴ y =

Create a free account to view solution

View Solution Free

Topic: Trigonometric Equation·Practice all Trigonometric Equation questions

More Trigonometric Equation Questions

A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-...Match List-I with List-II and select the correct answer using the code given below the lists....Let P = (-1, 0), Q = (0, 0) and R = (3, 3√3) be three points. The equation of the bisector of the angle PQR...A particle acted on by constant forces and is displaced from the point to the point . The total work done by the forces ...Number of ordered pairs (a, x) satisfying the equation sec2( a + 2) x + a2 - 1 = 0; - π < x < π is -...