AP EAMCET202317 May 2023Evening ShiftMathematicsTrigonometric EquationsActual
If A= coth x= x , then ( + )=
Options
- A2 x cosec 2 A
- B2 x 2 ~A
- C2 x 2 ~A
- D2 x cosec 2 A
Correct answer
D. 2 x cosec 2 A
Step-by-step solution
Given: A = h x= B h x ...(i) = A h x = A h x ...(ii) = A h x B = h x A ...(iii) Now, ( + )= + 1- ...(iv) From eq ^ n (i) = h^2 x . ...(v) Using values from eq ^ n (ii), (iii) & (v) in equation (iv), we get aligned & ( + )= A h x+ h x A 1- h^2 x & = h x h^2 x ^2 x A & = 2 h x h x 2 A A = h 2 x 2 ~A = h 2 x cosec 2 ~A aligned